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Finding the Fourth Proportional to 412.01, 616.61 and 321.12

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Solution

The fourth proportional to 412.01, 616.61 and 321.12 is: 480.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.01 : 616.61 = 321.12 : x
  2. Step 2: Convert to fraction form
    412.01/616.61 = 321.12/x
  3. Step 3: Cross multiply
    412.01x = 616.61 × 321.12
  4. Step 4: Simplify right side
    412.01x = 198,005.80
  5. Step 5: Solve for x
    x = 198,005.80/412.01
  6. Step 6: Final answer
    x = 480.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.