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Finding the Fourth Proportional to 529.68, 731.16 and 354.96

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Solution

The fourth proportional to 529.68, 731.16 and 354.96 is: 489.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.68 : 731.16 = 354.96 : x
  2. Step 2: Convert to fraction form
    529.68/731.16 = 354.96/x
  3. Step 3: Cross multiply
    529.68x = 731.16 × 354.96
  4. Step 4: Simplify right side
    529.68x = 259,532.55
  5. Step 5: Solve for x
    x = 259,532.55/529.68
  6. Step 6: Final answer
    x = 489.98

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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.