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Finding the Fourth Proportional to 391.56, 586.76 and 295.44

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Solution

The fourth proportional to 391.56, 586.76 and 295.44 is: 442.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.56 : 586.76 = 295.44 : x
  2. Step 2: Convert to fraction form
    391.56/586.76 = 295.44/x
  3. Step 3: Cross multiply
    391.56x = 586.76 × 295.44
  4. Step 4: Simplify right side
    391.56x = 173,352.37
  5. Step 5: Solve for x
    x = 173,352.37/391.56
  6. Step 6: Final answer
    x = 442.72

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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.