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Finding the Fourth Proportional to 589.81, 813.97 and 327.83

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Solution

The fourth proportional to 589.81, 813.97 and 327.83 is: 452.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.81 : 813.97 = 327.83 : x
  2. Step 2: Convert to fraction form
    589.81/813.97 = 327.83/x
  3. Step 3: Cross multiply
    589.81x = 813.97 × 327.83
  4. Step 4: Simplify right side
    589.81x = 266,838.90
  5. Step 5: Solve for x
    x = 266,838.90/589.81
  6. Step 6: Final answer
    x = 452.42

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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.