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Finding the Fourth Proportional to 391.64, 585.99 and 350.19

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Solution

The fourth proportional to 391.64, 585.99 and 350.19 is: 523.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.64 : 585.99 = 350.19 : x
  2. Step 2: Convert to fraction form
    391.64/585.99 = 350.19/x
  3. Step 3: Cross multiply
    391.64x = 585.99 × 350.19
  4. Step 4: Simplify right side
    391.64x = 205,207.84
  5. Step 5: Solve for x
    x = 205,207.84/391.64
  6. Step 6: Final answer
    x = 523.98

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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.