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Finding the Fourth Proportional to 868.57, 1,302.86 and 381.59

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Solution

The fourth proportional to 868.57, 1,302.86 and 381.59 is: 572.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.57 : 1,302.86 = 381.59 : x
  2. Step 2: Convert to fraction form
    868.57/1,302.86 = 381.59/x
  3. Step 3: Cross multiply
    868.57x = 1,302.86 × 381.59
  4. Step 4: Simplify right side
    868.57x = 497,152.94
  5. Step 5: Solve for x
    x = 497,152.94/868.57
  6. Step 6: Final answer
    x = 572.38

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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.