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Finding the Fourth Proportional to 638.14, 880.48 and 405.13

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Solution

The fourth proportional to 638.14, 880.48 and 405.13 is: 558.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.14 : 880.48 = 405.13 : x
  2. Step 2: Convert to fraction form
    638.14/880.48 = 405.13/x
  3. Step 3: Cross multiply
    638.14x = 880.48 × 405.13
  4. Step 4: Simplify right side
    638.14x = 356,708.86
  5. Step 5: Solve for x
    x = 356,708.86/638.14
  6. Step 6: Final answer
    x = 558.98

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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.