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Finding the Fourth Proportional to 382.91, 572.91 and 232.08

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Solution

The fourth proportional to 382.91, 572.91 and 232.08 is: 347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.91 : 572.91 = 232.08 : x
  2. Step 2: Convert to fraction form
    382.91/572.91 = 232.08/x
  3. Step 3: Cross multiply
    382.91x = 572.91 × 232.08
  4. Step 4: Simplify right side
    382.91x = 132,961.16
  5. Step 5: Solve for x
    x = 132,961.16/382.91
  6. Step 6: Final answer
    x = 347.24

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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.