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Finding the Fourth Proportional to 372.76, 514.32 and 232.84

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Solution

The fourth proportional to 372.76, 514.32 and 232.84 is: 321.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.76 : 514.32 = 232.84 : x
  2. Step 2: Convert to fraction form
    372.76/514.32 = 232.84/x
  3. Step 3: Cross multiply
    372.76x = 514.32 × 232.84
  4. Step 4: Simplify right side
    372.76x = 119,754.27
  5. Step 5: Solve for x
    x = 119,754.27/372.76
  6. Step 6: Final answer
    x = 321.26

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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.