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Finding the Fourth Proportional to 391.61, 587.67 and 175.20

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Solution

The fourth proportional to 391.61, 587.67 and 175.20 is: 262.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.61 : 587.67 = 175.20 : x
  2. Step 2: Convert to fraction form
    391.61/587.67 = 175.20/x
  3. Step 3: Cross multiply
    391.61x = 587.67 × 175.20
  4. Step 4: Simplify right side
    391.61x = 102,959.78
  5. Step 5: Solve for x
    x = 102,959.78/391.61
  6. Step 6: Final answer
    x = 262.92

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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.