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Finding the Fourth Proportional to 638.88, 881.72 and 418.24

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Solution

The fourth proportional to 638.88, 881.72 and 418.24 is: 577.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.88 : 881.72 = 418.24 : x
  2. Step 2: Convert to fraction form
    638.88/881.72 = 418.24/x
  3. Step 3: Cross multiply
    638.88x = 881.72 × 418.24
  4. Step 4: Simplify right side
    638.88x = 368,770.57
  5. Step 5: Solve for x
    x = 368,770.57/638.88
  6. Step 6: Final answer
    x = 577.21

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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.