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Finding the Fourth Proportional to 638.69, 881.16 and 417.76

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Solution

The fourth proportional to 638.69, 881.16 and 417.76 is: 576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.69 : 881.16 = 417.76 : x
  2. Step 2: Convert to fraction form
    638.69/881.16 = 417.76/x
  3. Step 3: Cross multiply
    638.69x = 881.16 × 417.76
  4. Step 4: Simplify right side
    638.69x = 368,116.68
  5. Step 5: Solve for x
    x = 368,116.68/638.69
  6. Step 6: Final answer
    x = 576.37

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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.