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Finding the Fourth Proportional to 932.07, 1,397.26 and 355.35

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Solution

The fourth proportional to 932.07, 1,397.26 and 355.35 is: 532.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.07 : 1,397.26 = 355.35 : x
  2. Step 2: Convert to fraction form
    932.07/1,397.26 = 355.35/x
  3. Step 3: Cross multiply
    932.07x = 1,397.26 × 355.35
  4. Step 4: Simplify right side
    932.07x = 496,516.34
  5. Step 5: Solve for x
    x = 496,516.34/932.07
  6. Step 6: Final answer
    x = 532.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.