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Finding the Fourth Proportional to 391.19, 586.78 and 117.27

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Solution

The fourth proportional to 391.19, 586.78 and 117.27 is: 175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.19 : 586.78 = 117.27 : x
  2. Step 2: Convert to fraction form
    391.19/586.78 = 117.27/x
  3. Step 3: Cross multiply
    391.19x = 586.78 × 117.27
  4. Step 4: Simplify right side
    391.19x = 68,811.40
  5. Step 5: Solve for x
    x = 68,811.40/391.19
  6. Step 6: Final answer
    x = 175.91

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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.