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Finding the Fourth Proportional to 586.91, 809.78 and 338.28

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Solution

The fourth proportional to 586.91, 809.78 and 338.28 is: 466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.91 : 809.78 = 338.28 : x
  2. Step 2: Convert to fraction form
    586.91/809.78 = 338.28/x
  3. Step 3: Cross multiply
    586.91x = 809.78 × 338.28
  4. Step 4: Simplify right side
    586.91x = 273,930.69
  5. Step 5: Solve for x
    x = 273,930.69/586.91
  6. Step 6: Final answer
    x = 466.74

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