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Finding the Fourth Proportional to 862.40, 1,293.80 and 314.52

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Solution

The fourth proportional to 862.40, 1,293.80 and 314.52 is: 471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.40 : 1,293.80 = 314.52 : x
  2. Step 2: Convert to fraction form
    862.40/1,293.80 = 314.52/x
  3. Step 3: Cross multiply
    862.40x = 1,293.80 × 314.52
  4. Step 4: Simplify right side
    862.40x = 406,925.98
  5. Step 5: Solve for x
    x = 406,925.98/862.40
  6. Step 6: Final answer
    x = 471.85

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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.