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Finding the Fourth Proportional to 386.52, 580.14 and 249.96

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Solution

The fourth proportional to 386.52, 580.14 and 249.96 is: 375.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.52 : 580.14 = 249.96 : x
  2. Step 2: Convert to fraction form
    386.52/580.14 = 249.96/x
  3. Step 3: Cross multiply
    386.52x = 580.14 × 249.96
  4. Step 4: Simplify right side
    386.52x = 145,011.79
  5. Step 5: Solve for x
    x = 145,011.79/386.52
  6. Step 6: Final answer
    x = 375.17

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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.