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Finding the Fourth Proportional to 412.01, 616.92 and 325.52

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Solution

The fourth proportional to 412.01, 616.92 and 325.52 is: 487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.01 : 616.92 = 325.52 : x
  2. Step 2: Convert to fraction form
    412.01/616.92 = 325.52/x
  3. Step 3: Cross multiply
    412.01x = 616.92 × 325.52
  4. Step 4: Simplify right side
    412.01x = 200,819.80
  5. Step 5: Solve for x
    x = 200,819.80/412.01
  6. Step 6: Final answer
    x = 487.41

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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.