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Finding the Fourth Proportional to 854.38, 1,281.76 and 306.96

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Solution

The fourth proportional to 854.38, 1,281.76 and 306.96 is: 460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.38 : 1,281.76 = 306.96 : x
  2. Step 2: Convert to fraction form
    854.38/1,281.76 = 306.96/x
  3. Step 3: Cross multiply
    854.38x = 1,281.76 × 306.96
  4. Step 4: Simplify right side
    854.38x = 393,449.05
  5. Step 5: Solve for x
    x = 393,449.05/854.38
  6. Step 6: Final answer
    x = 460.51

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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.