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Finding the Fourth Proportional to 391.24, 587.31 and 275.20

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Solution

The fourth proportional to 391.24, 587.31 and 275.20 is: 413.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.24 : 587.31 = 275.20 : x
  2. Step 2: Convert to fraction form
    391.24/587.31 = 275.20/x
  3. Step 3: Cross multiply
    391.24x = 587.31 × 275.20
  4. Step 4: Simplify right side
    391.24x = 161,627.71
  5. Step 5: Solve for x
    x = 161,627.71/391.24
  6. Step 6: Final answer
    x = 413.12

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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.