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Finding the Fourth Proportional to 529, 727.59 and 463.39

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Solution

The fourth proportional to 529, 727.59 and 463.39 is: 637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    529 : 727.59 = 463.39 : x
  2. Step 2: Convert to fraction form
    529/727.59 = 463.39/x
  3. Step 3: Cross multiply
    529x = 727.59 × 463.39
  4. Step 4: Simplify right side
    529x = 337,157.93
  5. Step 5: Solve for x
    x = 337,157.93/529
  6. Step 6: Final answer
    x = 637.35

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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.