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Finding the Fourth Proportional to 391.86, 588.47 and 289.80

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Solution

The fourth proportional to 391.86, 588.47 and 289.80 is: 435.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.86 : 588.47 = 289.80 : x
  2. Step 2: Convert to fraction form
    391.86/588.47 = 289.80/x
  3. Step 3: Cross multiply
    391.86x = 588.47 × 289.80
  4. Step 4: Simplify right side
    391.86x = 170,537.16
  5. Step 5: Solve for x
    x = 170,537.16/391.86
  6. Step 6: Final answer
    x = 435.20

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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.