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Finding the Fourth Proportional to 638.01, 880.57 and 416.88

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Solution

The fourth proportional to 638.01, 880.57 and 416.88 is: 575.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.01 : 880.57 = 416.88 : x
  2. Step 2: Convert to fraction form
    638.01/880.57 = 416.88/x
  3. Step 3: Cross multiply
    638.01x = 880.57 × 416.88
  4. Step 4: Simplify right side
    638.01x = 367,092.54
  5. Step 5: Solve for x
    x = 367,092.54/638.01
  6. Step 6: Final answer
    x = 575.37

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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.