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Finding the Fourth Proportional to 637.18, 879.24 and 415.78

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Solution

The fourth proportional to 637.18, 879.24 and 415.78 is: 573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.18 : 879.24 = 415.78 : x
  2. Step 2: Convert to fraction form
    637.18/879.24 = 415.78/x
  3. Step 3: Cross multiply
    637.18x = 879.24 × 415.78
  4. Step 4: Simplify right side
    637.18x = 365,570.41
  5. Step 5: Solve for x
    x = 365,570.41/637.18
  6. Step 6: Final answer
    x = 573.73

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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.