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Finding the Fourth Proportional to 588.27, 811.85 and 391.65

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Solution

The fourth proportional to 588.27, 811.85 and 391.65 is: 540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.27 : 811.85 = 391.65 : x
  2. Step 2: Convert to fraction form
    588.27/811.85 = 391.65/x
  3. Step 3: Cross multiply
    588.27x = 811.85 × 391.65
  4. Step 4: Simplify right side
    588.27x = 317,961.05
  5. Step 5: Solve for x
    x = 317,961.05/588.27
  6. Step 6: Final answer
    x = 540.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.