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Finding the Fourth Proportional to 391.12, 584.92 and 348.06

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Solution

The fourth proportional to 391.12, 584.92 and 348.06 is: 520.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.12 : 584.92 = 348.06 : x
  2. Step 2: Convert to fraction form
    391.12/584.92 = 348.06/x
  3. Step 3: Cross multiply
    391.12x = 584.92 × 348.06
  4. Step 4: Simplify right side
    391.12x = 203,587.26
  5. Step 5: Solve for x
    x = 203,587.26/391.12
  6. Step 6: Final answer
    x = 520.52

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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.