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Finding the Fourth Proportional to 520.76, 717.80 and 408.53

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Solution

The fourth proportional to 520.76, 717.80 and 408.53 is: 563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.76 : 717.80 = 408.53 : x
  2. Step 2: Convert to fraction form
    520.76/717.80 = 408.53/x
  3. Step 3: Cross multiply
    520.76x = 717.80 × 408.53
  4. Step 4: Simplify right side
    520.76x = 293,237.20
  5. Step 5: Solve for x
    x = 293,237.20/520.76
  6. Step 6: Final answer
    x = 563.10

Related Problems

Find fourth proportional to 260.38, 358.90 and 204.26
Half scale
Find fourth proportional to 1,041.51, 1,435.59 and 817.05
Double scale
Find fourth proportional to 521.76, 719.17 and 409.53
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.