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Finding the Fourth Proportional to 529.34, 730.71 and 354.92

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Solution

The fourth proportional to 529.34, 730.71 and 354.92 is: 489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.34 : 730.71 = 354.92 : x
  2. Step 2: Convert to fraction form
    529.34/730.71 = 354.92/x
  3. Step 3: Cross multiply
    529.34x = 730.71 × 354.92
  4. Step 4: Simplify right side
    529.34x = 259,343.59
  5. Step 5: Solve for x
    x = 259,343.59/529.34
  6. Step 6: Final answer
    x = 489.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.