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Finding the Fourth Proportional to 586.26, 878.78 and 308.74

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Solution

The fourth proportional to 586.26, 878.78 and 308.74 is: 462.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.26 : 878.78 = 308.74 : x
  2. Step 2: Convert to fraction form
    586.26/878.78 = 308.74/x
  3. Step 3: Cross multiply
    586.26x = 878.78 × 308.74
  4. Step 4: Simplify right side
    586.26x = 271,314.54
  5. Step 5: Solve for x
    x = 271,314.54/586.26
  6. Step 6: Final answer
    x = 462.79

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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.