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Finding the Fourth Proportional to 391.60, 586.14 and 208.54

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Solution

The fourth proportional to 391.60, 586.14 and 208.54 is: 312.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.60 : 586.14 = 208.54 : x
  2. Step 2: Convert to fraction form
    391.60/586.14 = 208.54/x
  3. Step 3: Cross multiply
    391.60x = 586.14 × 208.54
  4. Step 4: Simplify right side
    391.60x = 122,233.64
  5. Step 5: Solve for x
    x = 122,233.64/391.60
  6. Step 6: Final answer
    x = 312.14

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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.