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Finding the Fourth Proportional to 416.57, 624.92 and 221.66

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Solution

The fourth proportional to 416.57, 624.92 and 221.66 is: 332.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.57 : 624.92 = 221.66 : x
  2. Step 2: Convert to fraction form
    416.57/624.92 = 221.66/x
  3. Step 3: Cross multiply
    416.57x = 624.92 × 221.66
  4. Step 4: Simplify right side
    416.57x = 138,519.54
  5. Step 5: Solve for x
    x = 138,519.54/416.57
  6. Step 6: Final answer
    x = 332.53

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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.