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Finding the Fourth Proportional to 591.24, 815.88 and 329.27

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Solution

The fourth proportional to 591.24, 815.88 and 329.27 is: 454.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.24 : 815.88 = 329.27 : x
  2. Step 2: Convert to fraction form
    591.24/815.88 = 329.27/x
  3. Step 3: Cross multiply
    591.24x = 815.88 × 329.27
  4. Step 4: Simplify right side
    591.24x = 268,640.73
  5. Step 5: Solve for x
    x = 268,640.73/591.24
  6. Step 6: Final answer
    x = 454.37

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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.