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Finding the Fourth Proportional to 391.16, 586.50 and 228.68

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Solution

The fourth proportional to 391.16, 586.50 and 228.68 is: 342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.16 : 586.50 = 228.68 : x
  2. Step 2: Convert to fraction form
    391.16/586.50 = 228.68/x
  3. Step 3: Cross multiply
    391.16x = 586.50 × 228.68
  4. Step 4: Simplify right side
    391.16x = 134,120.82
  5. Step 5: Solve for x
    x = 134,120.82/391.16
  6. Step 6: Final answer
    x = 342.88

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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.