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Finding the Fourth Proportional to 854.10, 1,281.25 and 306.14

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Solution

The fourth proportional to 854.10, 1,281.25 and 306.14 is: 459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.10 : 1,281.25 = 306.14 : x
  2. Step 2: Convert to fraction form
    854.10/1,281.25 = 306.14/x
  3. Step 3: Cross multiply
    854.10x = 1,281.25 × 306.14
  4. Step 4: Simplify right side
    854.10x = 392,235.85
  5. Step 5: Solve for x
    x = 392,235.85/854.10
  6. Step 6: Final answer
    x = 459.24

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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.