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Finding the Fourth Proportional to 529.48, 732.54 and 463.96

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Solution

The fourth proportional to 529.48, 732.54 and 463.96 is: 641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.48 : 732.54 = 463.96 : x
  2. Step 2: Convert to fraction form
    529.48/732.54 = 463.96/x
  3. Step 3: Cross multiply
    529.48x = 732.54 × 463.96
  4. Step 4: Simplify right side
    529.48x = 339,869.26
  5. Step 5: Solve for x
    x = 339,869.26/529.48
  6. Step 6: Final answer
    x = 641.89

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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.