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Finding the Fourth Proportional to 868.83, 1,302.17 and 382.11

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Solution

The fourth proportional to 868.83, 1,302.17 and 382.11 is: 572.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.83 : 1,302.17 = 382.11 : x
  2. Step 2: Convert to fraction form
    868.83/1,302.17 = 382.11/x
  3. Step 3: Cross multiply
    868.83x = 1,302.17 × 382.11
  4. Step 4: Simplify right side
    868.83x = 497,570.27
  5. Step 5: Solve for x
    x = 497,570.27/868.83
  6. Step 6: Final answer
    x = 572.69

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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.