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Finding the Fourth Proportional to 639.14, 958.82 and 314.54

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Solution

The fourth proportional to 639.14, 958.82 and 314.54 is: 471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.14 : 958.82 = 314.54 : x
  2. Step 2: Convert to fraction form
    639.14/958.82 = 314.54/x
  3. Step 3: Cross multiply
    639.14x = 958.82 × 314.54
  4. Step 4: Simplify right side
    639.14x = 301,587.24
  5. Step 5: Solve for x
    x = 301,587.24/639.14
  6. Step 6: Final answer
    x = 471.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.