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Finding the Fourth Proportional to 637.47, 879.44 and 416.34

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Solution

The fourth proportional to 637.47, 879.44 and 416.34 is: 574.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.47 : 879.44 = 416.34 : x
  2. Step 2: Convert to fraction form
    637.47/879.44 = 416.34/x
  3. Step 3: Cross multiply
    637.47x = 879.44 × 416.34
  4. Step 4: Simplify right side
    637.47x = 366,143.97
  5. Step 5: Solve for x
    x = 366,143.97/637.47
  6. Step 6: Final answer
    x = 574.37

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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.