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Finding the Fourth Proportional to 638.32, 880.41 and 414.31

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Solution

The fourth proportional to 638.32, 880.41 and 414.31 is: 571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.32 : 880.41 = 414.31 : x
  2. Step 2: Convert to fraction form
    638.32/880.41 = 414.31/x
  3. Step 3: Cross multiply
    638.32x = 880.41 × 414.31
  4. Step 4: Simplify right side
    638.32x = 364,762.67
  5. Step 5: Solve for x
    x = 364,762.67/638.32
  6. Step 6: Final answer
    x = 571.44

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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.