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Finding the Fourth Proportional to 868.38, 1,302.36 and 251.94

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Solution

The fourth proportional to 868.38, 1,302.36 and 251.94 is: 377.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.38 : 1,302.36 = 251.94 : x
  2. Step 2: Convert to fraction form
    868.38/1,302.36 = 251.94/x
  3. Step 3: Cross multiply
    868.38x = 1,302.36 × 251.94
  4. Step 4: Simplify right side
    868.38x = 328,116.58
  5. Step 5: Solve for x
    x = 328,116.58/868.38
  6. Step 6: Final answer
    x = 377.85

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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.