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Finding the Fourth Proportional to 586.92, 809.76 and 338.31

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Solution

The fourth proportional to 586.92, 809.76 and 338.31 is: 466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.92 : 809.76 = 338.31 : x
  2. Step 2: Convert to fraction form
    586.92/809.76 = 338.31/x
  3. Step 3: Cross multiply
    586.92x = 809.76 × 338.31
  4. Step 4: Simplify right side
    586.92x = 273,949.91
  5. Step 5: Solve for x
    x = 273,949.91/586.92
  6. Step 6: Final answer
    x = 466.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.