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Finding the Fourth Proportional to 391.71, 587.76 and 199.35

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Solution

The fourth proportional to 391.71, 587.76 and 199.35 is: 299.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.71 : 587.76 = 199.35 : x
  2. Step 2: Convert to fraction form
    391.71/587.76 = 199.35/x
  3. Step 3: Cross multiply
    391.71x = 587.76 × 199.35
  4. Step 4: Simplify right side
    391.71x = 117,169.96
  5. Step 5: Solve for x
    x = 117,169.96/391.71
  6. Step 6: Final answer
    x = 299.12

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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.