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Finding the Fourth Proportional to 391.11, 584.91 and 348.06

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Solution

The fourth proportional to 391.11, 584.91 and 348.06 is: 520.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.11 : 584.91 = 348.06 : x
  2. Step 2: Convert to fraction form
    391.11/584.91 = 348.06/x
  3. Step 3: Cross multiply
    391.11x = 584.91 × 348.06
  4. Step 4: Simplify right side
    391.11x = 203,583.77
  5. Step 5: Solve for x
    x = 203,583.77/391.11
  6. Step 6: Final answer
    x = 520.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.