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Finding the Fourth Proportional to 637.16, 879.89 and 416.22

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Solution

The fourth proportional to 637.16, 879.89 and 416.22 is: 574.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.16 : 879.89 = 416.22 : x
  2. Step 2: Convert to fraction form
    637.16/879.89 = 416.22/x
  3. Step 3: Cross multiply
    637.16x = 879.89 × 416.22
  4. Step 4: Simplify right side
    637.16x = 366,225.73
  5. Step 5: Solve for x
    x = 366,225.73/637.16
  6. Step 6: Final answer
    x = 574.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.