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Finding the Fourth Proportional to 589.18, 813.06 and 327.20

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Solution

The fourth proportional to 589.18, 813.06 and 327.20 is: 451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.18 : 813.06 = 327.20 : x
  2. Step 2: Convert to fraction form
    589.18/813.06 = 327.20/x
  3. Step 3: Cross multiply
    589.18x = 813.06 × 327.20
  4. Step 4: Simplify right side
    589.18x = 266,033.23
  5. Step 5: Solve for x
    x = 266,033.23/589.18
  6. Step 6: Final answer
    x = 451.54

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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.