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Finding the Fourth Proportional to 586.72, 809.84 and 338.21

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Solution

The fourth proportional to 586.72, 809.84 and 338.21 is: 466.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.72 : 809.84 = 338.21 : x
  2. Step 2: Convert to fraction form
    586.72/809.84 = 338.21/x
  3. Step 3: Cross multiply
    586.72x = 809.84 × 338.21
  4. Step 4: Simplify right side
    586.72x = 273,898.86
  5. Step 5: Solve for x
    x = 273,898.86/586.72
  6. Step 6: Final answer
    x = 466.83

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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.