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Finding the Fourth Proportional to 639.24, 958.05 and 408.06

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Solution

The fourth proportional to 639.24, 958.05 and 408.06 is: 611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.24 : 958.05 = 408.06 : x
  2. Step 2: Convert to fraction form
    639.24/958.05 = 408.06/x
  3. Step 3: Cross multiply
    639.24x = 958.05 × 408.06
  4. Step 4: Simplify right side
    639.24x = 390,941.88
  5. Step 5: Solve for x
    x = 390,941.88/639.24
  6. Step 6: Final answer
    x = 611.57

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