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Finding the Fourth Proportional to 589.19, 813.01 and 327.16

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Solution

The fourth proportional to 589.19, 813.01 and 327.16 is: 451.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.19 : 813.01 = 327.16 : x
  2. Step 2: Convert to fraction form
    589.19/813.01 = 327.16/x
  3. Step 3: Cross multiply
    589.19x = 813.01 × 327.16
  4. Step 4: Simplify right side
    589.19x = 265,978.65
  5. Step 5: Solve for x
    x = 265,978.65/589.19
  6. Step 6: Final answer
    x = 451.43

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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.