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Finding the Fourth Proportional to 391.64, 585.26 and 342.44

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Solution

The fourth proportional to 391.64, 585.26 and 342.44 is: 511.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.64 : 585.26 = 342.44 : x
  2. Step 2: Convert to fraction form
    391.64/585.26 = 342.44/x
  3. Step 3: Cross multiply
    391.64x = 585.26 × 342.44
  4. Step 4: Simplify right side
    391.64x = 200,416.43
  5. Step 5: Solve for x
    x = 200,416.43/391.64
  6. Step 6: Final answer
    x = 511.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.