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Finding the Fourth Proportional to 932.32, 1,398.78 and 283.06

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Solution

The fourth proportional to 932.32, 1,398.78 and 283.06 is: 424.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.32 : 1,398.78 = 283.06 : x
  2. Step 2: Convert to fraction form
    932.32/1,398.78 = 283.06/x
  3. Step 3: Cross multiply
    932.32x = 1,398.78 × 283.06
  4. Step 4: Simplify right side
    932.32x = 395,938.67
  5. Step 5: Solve for x
    x = 395,938.67/932.32
  6. Step 6: Final answer
    x = 424.68

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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.