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Finding the Fourth Proportional to 391.06, 586.41 and 208.41

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Solution

The fourth proportional to 391.06, 586.41 and 208.41 is: 312.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.06 : 586.41 = 208.41 : x
  2. Step 2: Convert to fraction form
    391.06/586.41 = 208.41/x
  3. Step 3: Cross multiply
    391.06x = 586.41 × 208.41
  4. Step 4: Simplify right side
    391.06x = 122,213.71
  5. Step 5: Solve for x
    x = 122,213.71/391.06
  6. Step 6: Final answer
    x = 312.52

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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.