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Finding the Fourth Proportional to 639.14, 881.22 and 414.70

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Solution

The fourth proportional to 639.14, 881.22 and 414.70 is: 571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.14 : 881.22 = 414.70 : x
  2. Step 2: Convert to fraction form
    639.14/881.22 = 414.70/x
  3. Step 3: Cross multiply
    639.14x = 881.22 × 414.70
  4. Step 4: Simplify right side
    639.14x = 365,441.93
  5. Step 5: Solve for x
    x = 365,441.93/639.14
  6. Step 6: Final answer
    x = 571.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.