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Finding the Fourth Proportional to 524.75, 723.83 and 328.23

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Solution

The fourth proportional to 524.75, 723.83 and 328.23 is: 452.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.75 : 723.83 = 328.23 : x
  2. Step 2: Convert to fraction form
    524.75/723.83 = 328.23/x
  3. Step 3: Cross multiply
    524.75x = 723.83 × 328.23
  4. Step 4: Simplify right side
    524.75x = 237,583.54
  5. Step 5: Solve for x
    x = 237,583.54/524.75
  6. Step 6: Final answer
    x = 452.75

Related Problems

Find fourth proportional to 262.38, 361.92 and 164.12
Half scale
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Double scale
Find fourth proportional to 525.75, 725.21 and 329.23
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.