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Finding the Fourth Proportional to 412.06, 616.88 and 216.59

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Solution

The fourth proportional to 412.06, 616.88 and 216.59 is: 324.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.06 : 616.88 = 216.59 : x
  2. Step 2: Convert to fraction form
    412.06/616.88 = 216.59/x
  3. Step 3: Cross multiply
    412.06x = 616.88 × 216.59
  4. Step 4: Simplify right side
    412.06x = 133,609.77
  5. Step 5: Solve for x
    x = 133,609.77/412.06
  6. Step 6: Final answer
    x = 324.25

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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.