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Finding the Fourth Proportional to 524.96, 725.05 and 414.24

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Solution

The fourth proportional to 524.96, 725.05 and 414.24 is: 572.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.96 : 725.05 = 414.24 : x
  2. Step 2: Convert to fraction form
    524.96/725.05 = 414.24/x
  3. Step 3: Cross multiply
    524.96x = 725.05 × 414.24
  4. Step 4: Simplify right side
    524.96x = 300,344.55
  5. Step 5: Solve for x
    x = 300,344.55/524.96
  6. Step 6: Final answer
    x = 572.13

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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.