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Finding the Fourth Proportional to 514.04, 709.04 and 366.76

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Solution

The fourth proportional to 514.04, 709.04 and 366.76 is: 505.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.04 : 709.04 = 366.76 : x
  2. Step 2: Convert to fraction form
    514.04/709.04 = 366.76/x
  3. Step 3: Cross multiply
    514.04x = 709.04 × 366.76
  4. Step 4: Simplify right side
    514.04x = 260,042.13
  5. Step 5: Solve for x
    x = 260,042.13/514.04
  6. Step 6: Final answer
    x = 505.88

Related Problems

Find fourth proportional to 257.02, 354.52 and 183.38
Half scale
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Double scale
Find fourth proportional to 515.04, 710.41 and 367.76
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.