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Finding the Fourth Proportional to 391.57, 587.63 and 209.10

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Solution

The fourth proportional to 391.57, 587.63 and 209.10 is: 313.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.57 : 587.63 = 209.10 : x
  2. Step 2: Convert to fraction form
    391.57/587.63 = 209.10/x
  3. Step 3: Cross multiply
    391.57x = 587.63 × 209.10
  4. Step 4: Simplify right side
    391.57x = 122,870.92
  5. Step 5: Solve for x
    x = 122,870.92/391.57
  6. Step 6: Final answer
    x = 313.79

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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.