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Finding the Fourth Proportional to 589.70, 813.84 and 327.76

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Solution

The fourth proportional to 589.70, 813.84 and 327.76 is: 452.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.70 : 813.84 = 327.76 : x
  2. Step 2: Convert to fraction form
    589.70/813.84 = 327.76/x
  3. Step 3: Cross multiply
    589.70x = 813.84 × 327.76
  4. Step 4: Simplify right side
    589.70x = 266,740.93
  5. Step 5: Solve for x
    x = 266,740.93/589.70
  6. Step 6: Final answer
    x = 452.33

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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.