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Finding the Fourth Proportional to 854.68, 1,281.52 and 392.28

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Solution

The fourth proportional to 854.68, 1,281.52 and 392.28 is: 588.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.68 : 1,281.52 = 392.28 : x
  2. Step 2: Convert to fraction form
    854.68/1,281.52 = 392.28/x
  3. Step 3: Cross multiply
    854.68x = 1,281.52 × 392.28
  4. Step 4: Simplify right side
    854.68x = 502,714.67
  5. Step 5: Solve for x
    x = 502,714.67/854.68
  6. Step 6: Final answer
    x = 588.19

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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.