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Finding the Fourth Proportional to 588.12, 812.12 and 391.56

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Solution

The fourth proportional to 588.12, 812.12 and 391.56 is: 540.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.12 : 812.12 = 391.56 : x
  2. Step 2: Convert to fraction form
    588.12/812.12 = 391.56/x
  3. Step 3: Cross multiply
    588.12x = 812.12 × 391.56
  4. Step 4: Simplify right side
    588.12x = 317,993.71
  5. Step 5: Solve for x
    x = 317,993.71/588.12
  6. Step 6: Final answer
    x = 540.70

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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.