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Finding the Fourth Proportional to 932.46, 1,398.65 and 283.16

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Solution

The fourth proportional to 932.46, 1,398.65 and 283.16 is: 424.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.46 : 1,398.65 = 283.16 : x
  2. Step 2: Convert to fraction form
    932.46/1,398.65 = 283.16/x
  3. Step 3: Cross multiply
    932.46x = 1,398.65 × 283.16
  4. Step 4: Simplify right side
    932.46x = 396,033.32
  5. Step 5: Solve for x
    x = 396,033.32/932.46
  6. Step 6: Final answer
    x = 424.72

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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.