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Finding the Fourth Proportional to 637.50, 879.37 and 416.55

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Solution

The fourth proportional to 637.50, 879.37 and 416.55 is: 574.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.50 : 879.37 = 416.55 : x
  2. Step 2: Convert to fraction form
    637.50/879.37 = 416.55/x
  3. Step 3: Cross multiply
    637.50x = 879.37 × 416.55
  4. Step 4: Simplify right side
    637.50x = 366,301.57
  5. Step 5: Solve for x
    x = 366,301.57/637.50
  6. Step 6: Final answer
    x = 574.59

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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.