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Finding the Fourth Proportional to 372.48, 514.07 and 232.74

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Solution

The fourth proportional to 372.48, 514.07 and 232.74 is: 321.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.48 : 514.07 = 232.74 : x
  2. Step 2: Convert to fraction form
    372.48/514.07 = 232.74/x
  3. Step 3: Cross multiply
    372.48x = 514.07 × 232.74
  4. Step 4: Simplify right side
    372.48x = 119,644.65
  5. Step 5: Solve for x
    x = 119,644.65/372.48
  6. Step 6: Final answer
    x = 321.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.