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Finding the Fourth Proportional to 392.18, 591.17 and 375.71

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Solution

The fourth proportional to 392.18, 591.17 and 375.71 is: 566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.18 : 591.17 = 375.71 : x
  2. Step 2: Convert to fraction form
    392.18/591.17 = 375.71/x
  3. Step 3: Cross multiply
    392.18x = 591.17 × 375.71
  4. Step 4: Simplify right side
    392.18x = 222,103.65
  5. Step 5: Solve for x
    x = 222,103.65/392.18
  6. Step 6: Final answer
    x = 566.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.