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Finding the Fourth Proportional to 638.78, 881.66 and 417.34

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Solution

The fourth proportional to 638.78, 881.66 and 417.34 is: 576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.78 : 881.66 = 417.34 : x
  2. Step 2: Convert to fraction form
    638.78/881.66 = 417.34/x
  3. Step 3: Cross multiply
    638.78x = 881.66 × 417.34
  4. Step 4: Simplify right side
    638.78x = 367,951.98
  5. Step 5: Solve for x
    x = 367,951.98/638.78
  6. Step 6: Final answer
    x = 576.02

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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.