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Finding the Fourth Proportional to 416.57, 625.04 and 221.52

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Solution

The fourth proportional to 416.57, 625.04 and 221.52 is: 332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.57 : 625.04 = 221.52 : x
  2. Step 2: Convert to fraction form
    416.57/625.04 = 221.52/x
  3. Step 3: Cross multiply
    416.57x = 625.04 × 221.52
  4. Step 4: Simplify right side
    416.57x = 138,457.41
  5. Step 5: Solve for x
    x = 138,457.41/416.57
  6. Step 6: Final answer
    x = 332.38

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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.