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Finding the Fourth Proportional to 529.54, 730.22 and 332.71

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Solution

The fourth proportional to 529.54, 730.22 and 332.71 is: 458.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.54 : 730.22 = 332.71 : x
  2. Step 2: Convert to fraction form
    529.54/730.22 = 332.71/x
  3. Step 3: Cross multiply
    529.54x = 730.22 × 332.71
  4. Step 4: Simplify right side
    529.54x = 242,948.01
  5. Step 5: Solve for x
    x = 242,948.01/529.54
  6. Step 6: Final answer
    x = 458.79

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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.