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Finding the Fourth Proportional to 862.25, 1,293.57 and 314.43

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Solution

The fourth proportional to 862.25, 1,293.57 and 314.43 is: 471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.25 : 1,293.57 = 314.43 : x
  2. Step 2: Convert to fraction form
    862.25/1,293.57 = 314.43/x
  3. Step 3: Cross multiply
    862.25x = 1,293.57 × 314.43
  4. Step 4: Simplify right side
    862.25x = 406,742.97
  5. Step 5: Solve for x
    x = 406,742.97/862.25
  6. Step 6: Final answer
    x = 471.72

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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.