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Finding the Fourth Proportional to 586.38, 809.20 and 320.82

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Solution

The fourth proportional to 586.38, 809.20 and 320.82 is: 442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.38 : 809.20 = 320.82 : x
  2. Step 2: Convert to fraction form
    586.38/809.20 = 320.82/x
  3. Step 3: Cross multiply
    586.38x = 809.20 × 320.82
  4. Step 4: Simplify right side
    586.38x = 259,607.54
  5. Step 5: Solve for x
    x = 259,607.54/586.38
  6. Step 6: Final answer
    x = 442.73

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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.