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Finding the Fourth Proportional to 591.13, 815.75 and 329.15

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Solution

The fourth proportional to 591.13, 815.75 and 329.15 is: 454.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.13 : 815.75 = 329.15 : x
  2. Step 2: Convert to fraction form
    591.13/815.75 = 329.15/x
  3. Step 3: Cross multiply
    591.13x = 815.75 × 329.15
  4. Step 4: Simplify right side
    591.13x = 268,504.11
  5. Step 5: Solve for x
    x = 268,504.11/591.13
  6. Step 6: Final answer
    x = 454.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.