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Finding the Fourth Proportional to 862.58, 1,294.11 and 314.61

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Solution

The fourth proportional to 862.58, 1,294.11 and 314.61 is: 472.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.58 : 1,294.11 = 314.61 : x
  2. Step 2: Convert to fraction form
    862.58/1,294.11 = 314.61/x
  3. Step 3: Cross multiply
    862.58x = 1,294.11 × 314.61
  4. Step 4: Simplify right side
    862.58x = 407,139.95
  5. Step 5: Solve for x
    x = 407,139.95/862.58
  6. Step 6: Final answer
    x = 472.01

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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.