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Finding the Fourth Proportional to 391.98, 586.83 and 339.76

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Solution

The fourth proportional to 391.98, 586.83 and 339.76 is: 508.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.98 : 586.83 = 339.76 : x
  2. Step 2: Convert to fraction form
    391.98/586.83 = 339.76/x
  3. Step 3: Cross multiply
    391.98x = 586.83 × 339.76
  4. Step 4: Simplify right side
    391.98x = 199,379.66
  5. Step 5: Solve for x
    x = 199,379.66/391.98
  6. Step 6: Final answer
    x = 508.65

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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.