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Finding the Fourth Proportional to 426.57, 588.85 and 286.77

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Solution

The fourth proportional to 426.57, 588.85 and 286.77 is: 395.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.57 : 588.85 = 286.77 : x
  2. Step 2: Convert to fraction form
    426.57/588.85 = 286.77/x
  3. Step 3: Cross multiply
    426.57x = 588.85 × 286.77
  4. Step 4: Simplify right side
    426.57x = 168,867.62
  5. Step 5: Solve for x
    x = 168,867.62/426.57
  6. Step 6: Final answer
    x = 395.88

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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.