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Finding the Fourth Proportional to 854.60, 1,281.92 and 306.82

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Solution

The fourth proportional to 854.60, 1,281.92 and 306.82 is: 460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.60 : 1,281.92 = 306.82 : x
  2. Step 2: Convert to fraction form
    854.60/1,281.92 = 306.82/x
  3. Step 3: Cross multiply
    854.60x = 1,281.92 × 306.82
  4. Step 4: Simplify right side
    854.60x = 393,318.69
  5. Step 5: Solve for x
    x = 393,318.69/854.60
  6. Step 6: Final answer
    x = 460.24

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Why These Related Problems?

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