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Finding the Fourth Proportional to 638.46, 881.10 and 417.60

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Solution

The fourth proportional to 638.46, 881.10 and 417.60 is: 576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.46 : 881.10 = 417.60 : x
  2. Step 2: Convert to fraction form
    638.46/881.10 = 417.60/x
  3. Step 3: Cross multiply
    638.46x = 881.10 × 417.60
  4. Step 4: Simplify right side
    638.46x = 367,947.36
  5. Step 5: Solve for x
    x = 367,947.36/638.46
  6. Step 6: Final answer
    x = 576.30

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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.