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Finding the Fourth Proportional to 639.79, 958.56 and 456.24

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Solution

The fourth proportional to 639.79, 958.56 and 456.24 is: 683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.79 : 958.56 = 456.24 : x
  2. Step 2: Convert to fraction form
    639.79/958.56 = 456.24/x
  3. Step 3: Cross multiply
    639.79x = 958.56 × 456.24
  4. Step 4: Simplify right side
    639.79x = 437,333.41
  5. Step 5: Solve for x
    x = 437,333.41/639.79
  6. Step 6: Final answer
    x = 683.56

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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.