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Finding the Fourth Proportional to 589.24, 813.16 and 327.27

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Solution

The fourth proportional to 589.24, 813.16 and 327.27 is: 451.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.24 : 813.16 = 327.27 : x
  2. Step 2: Convert to fraction form
    589.24/813.16 = 327.27/x
  3. Step 3: Cross multiply
    589.24x = 813.16 × 327.27
  4. Step 4: Simplify right side
    589.24x = 266,122.87
  5. Step 5: Solve for x
    x = 266,122.87/589.24
  6. Step 6: Final answer
    x = 451.64

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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.