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Finding the Fourth Proportional to 638.21, 880.71 and 414.37

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Solution

The fourth proportional to 638.21, 880.71 and 414.37 is: 571.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.21 : 880.71 = 414.37 : x
  2. Step 2: Convert to fraction form
    638.21/880.71 = 414.37/x
  3. Step 3: Cross multiply
    638.21x = 880.71 × 414.37
  4. Step 4: Simplify right side
    638.21x = 364,937.73
  5. Step 5: Solve for x
    x = 364,937.73/638.21
  6. Step 6: Final answer
    x = 571.81

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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.