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Finding the Fourth Proportional to 867.96, 1,302.17 and 381.15

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Solution

The fourth proportional to 867.96, 1,302.17 and 381.15 is: 571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.96 : 1,302.17 = 381.15 : x
  2. Step 2: Convert to fraction form
    867.96/1,302.17 = 381.15/x
  3. Step 3: Cross multiply
    867.96x = 1,302.17 × 381.15
  4. Step 4: Simplify right side
    867.96x = 496,320.19
  5. Step 5: Solve for x
    x = 496,320.19/867.96
  6. Step 6: Final answer
    x = 571.82

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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.