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Finding the Fourth Proportional to 391.12, 586.32 and 208.24

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Solution

The fourth proportional to 391.12, 586.32 and 208.24 is: 312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.12 : 586.32 = 208.24 : x
  2. Step 2: Convert to fraction form
    391.12/586.32 = 208.24/x
  3. Step 3: Cross multiply
    391.12x = 586.32 × 208.24
  4. Step 4: Simplify right side
    391.12x = 122,095.28
  5. Step 5: Solve for x
    x = 122,095.28/391.12
  6. Step 6: Final answer
    x = 312.17

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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.