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Finding the Fourth Proportional to 591.24, 815.90 and 329.25

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Solution

The fourth proportional to 591.24, 815.90 and 329.25 is: 454.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.24 : 815.90 = 329.25 : x
  2. Step 2: Convert to fraction form
    591.24/815.90 = 329.25/x
  3. Step 3: Cross multiply
    591.24x = 815.90 × 329.25
  4. Step 4: Simplify right side
    591.24x = 268,633.43
  5. Step 5: Solve for x
    x = 268,633.43/591.24
  6. Step 6: Final answer
    x = 454.36

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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.