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Finding the Fourth Proportional to 387.82, 581.22 and 296.24

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Solution

The fourth proportional to 387.82, 581.22 and 296.24 is: 443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.82 : 581.22 = 296.24 : x
  2. Step 2: Convert to fraction form
    387.82/581.22 = 296.24/x
  3. Step 3: Cross multiply
    387.82x = 581.22 × 296.24
  4. Step 4: Simplify right side
    387.82x = 172,180.61
  5. Step 5: Solve for x
    x = 172,180.61/387.82
  6. Step 6: Final answer
    x = 443.97

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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.