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Finding the Fourth Proportional to 529.11, 730.17 and 296.22

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Solution

The fourth proportional to 529.11, 730.17 and 296.22 is: 408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.11 : 730.17 = 296.22 : x
  2. Step 2: Convert to fraction form
    529.11/730.17 = 296.22/x
  3. Step 3: Cross multiply
    529.11x = 730.17 × 296.22
  4. Step 4: Simplify right side
    529.11x = 216,290.96
  5. Step 5: Solve for x
    x = 216,290.96/529.11
  6. Step 6: Final answer
    x = 408.78

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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.