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Finding the Fourth Proportional to 391.01, 586.37 and 117.09

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Solution

The fourth proportional to 391.01, 586.37 and 117.09 is: 175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.01 : 586.37 = 117.09 : x
  2. Step 2: Convert to fraction form
    391.01/586.37 = 117.09/x
  3. Step 3: Cross multiply
    391.01x = 586.37 × 117.09
  4. Step 4: Simplify right side
    391.01x = 68,657.48
  5. Step 5: Solve for x
    x = 68,657.48/391.01
  6. Step 6: Final answer
    x = 175.59

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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.