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Finding the Fourth Proportional to 416.42, 625.02 and 221.57

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Solution

The fourth proportional to 416.42, 625.02 and 221.57 is: 332.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.42 : 625.02 = 221.57 : x
  2. Step 2: Convert to fraction form
    416.42/625.02 = 221.57/x
  3. Step 3: Cross multiply
    416.42x = 625.02 × 221.57
  4. Step 4: Simplify right side
    416.42x = 138,485.68
  5. Step 5: Solve for x
    x = 138,485.68/416.42
  6. Step 6: Final answer
    x = 332.56

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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.