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Finding the Fourth Proportional to 589.38, 813.31 and 327.38

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Solution

The fourth proportional to 589.38, 813.31 and 327.38 is: 451.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.38 : 813.31 = 327.38 : x
  2. Step 2: Convert to fraction form
    589.38/813.31 = 327.38/x
  3. Step 3: Cross multiply
    589.38x = 813.31 × 327.38
  4. Step 4: Simplify right side
    589.38x = 266,256.54
  5. Step 5: Solve for x
    x = 266,256.54/589.38
  6. Step 6: Final answer
    x = 451.76

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Double scale
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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.