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Finding the Fourth Proportional to 868.08, 1,302.09 and 381.14

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Solution

The fourth proportional to 868.08, 1,302.09 and 381.14 is: 571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.08 : 1,302.09 = 381.14 : x
  2. Step 2: Convert to fraction form
    868.08/1,302.09 = 381.14/x
  3. Step 3: Cross multiply
    868.08x = 1,302.09 × 381.14
  4. Step 4: Simplify right side
    868.08x = 496,278.58
  5. Step 5: Solve for x
    x = 496,278.58/868.08
  6. Step 6: Final answer
    x = 571.70

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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.