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Finding the Fourth Proportional to 637.59, 879.39 and 461.22

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Solution

The fourth proportional to 637.59, 879.39 and 461.22 is: 636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.59 : 879.39 = 461.22 : x
  2. Step 2: Convert to fraction form
    637.59/879.39 = 461.22/x
  3. Step 3: Cross multiply
    637.59x = 879.39 × 461.22
  4. Step 4: Simplify right side
    637.59x = 405,592.26
  5. Step 5: Solve for x
    x = 405,592.26/637.59
  6. Step 6: Final answer
    x = 636.13

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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.