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Finding the Fourth Proportional to 862.96, 1,294.28 and 315.40

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Solution

The fourth proportional to 862.96, 1,294.28 and 315.40 is: 473.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.96 : 1,294.28 = 315.40 : x
  2. Step 2: Convert to fraction form
    862.96/1,294.28 = 315.40/x
  3. Step 3: Cross multiply
    862.96x = 1,294.28 × 315.40
  4. Step 4: Simplify right side
    862.96x = 408,215.91
  5. Step 5: Solve for x
    x = 408,215.91/862.96
  6. Step 6: Final answer
    x = 473.04

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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.