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Finding the Fourth Proportional to 412.38, 616.68 and 371.43

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Solution

The fourth proportional to 412.38, 616.68 and 371.43 is: 555.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.38 : 616.68 = 371.43 : x
  2. Step 2: Convert to fraction form
    412.38/616.68 = 371.43/x
  3. Step 3: Cross multiply
    412.38x = 616.68 × 371.43
  4. Step 4: Simplify right side
    412.38x = 229,053.45
  5. Step 5: Solve for x
    x = 229,053.45/412.38
  6. Step 6: Final answer
    x = 555.44

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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.