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Finding the Fourth Proportional to 862.48, 1,293.82 and 314.92

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Solution

The fourth proportional to 862.48, 1,293.82 and 314.92 is: 472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.48 : 1,293.82 = 314.92 : x
  2. Step 2: Convert to fraction form
    862.48/1,293.82 = 314.92/x
  3. Step 3: Cross multiply
    862.48x = 1,293.82 × 314.92
  4. Step 4: Simplify right side
    862.48x = 407,449.79
  5. Step 5: Solve for x
    x = 407,449.79/862.48
  6. Step 6: Final answer
    x = 472.42

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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.