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Finding the Fourth Proportional to 638.62, 881.46 and 417.58

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Solution

The fourth proportional to 638.62, 881.46 and 417.58 is: 576.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.62 : 881.46 = 417.58 : x
  2. Step 2: Convert to fraction form
    638.62/881.46 = 417.58/x
  3. Step 3: Cross multiply
    638.62x = 881.46 × 417.58
  4. Step 4: Simplify right side
    638.62x = 368,080.07
  5. Step 5: Solve for x
    x = 368,080.07/638.62
  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.