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Finding the Fourth Proportional to 532.08, 733.92 and 335.72

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Solution

The fourth proportional to 532.08, 733.92 and 335.72 is: 463.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.08 : 733.92 = 335.72 : x
  2. Step 2: Convert to fraction form
    532.08/733.92 = 335.72/x
  3. Step 3: Cross multiply
    532.08x = 733.92 × 335.72
  4. Step 4: Simplify right side
    532.08x = 246,391.62
  5. Step 5: Solve for x
    x = 246,391.62/532.08
  6. Step 6: Final answer
    x = 463.07

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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.