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Finding the Fourth Proportional to 862.75, 1,294.31 and 349.75

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Solution

The fourth proportional to 862.75, 1,294.31 and 349.75 is: 524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.75 : 1,294.31 = 349.75 : x
  2. Step 2: Convert to fraction form
    862.75/1,294.31 = 349.75/x
  3. Step 3: Cross multiply
    862.75x = 1,294.31 × 349.75
  4. Step 4: Simplify right side
    862.75x = 452,684.92
  5. Step 5: Solve for x
    x = 452,684.92/862.75
  6. Step 6: Final answer
    x = 524.70

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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.