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Finding the Fourth Proportional to 635.96, 877.62 and 447.17

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Solution

The fourth proportional to 635.96, 877.62 and 447.17 is: 617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.96 : 877.62 = 447.17 : x
  2. Step 2: Convert to fraction form
    635.96/877.62 = 447.17/x
  3. Step 3: Cross multiply
    635.96x = 877.62 × 447.17
  4. Step 4: Simplify right side
    635.96x = 392,445.34
  5. Step 5: Solve for x
    x = 392,445.34/635.96
  6. Step 6: Final answer
    x = 617.09

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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.