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Finding the Fourth Proportional to 591.12, 815.65 and 329.14

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Solution

The fourth proportional to 591.12, 815.65 and 329.14 is: 454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.12 : 815.65 = 329.14 : x
  2. Step 2: Convert to fraction form
    591.12/815.65 = 329.14/x
  3. Step 3: Cross multiply
    591.12x = 815.65 × 329.14
  4. Step 4: Simplify right side
    591.12x = 268,463.24
  5. Step 5: Solve for x
    x = 268,463.24/591.12
  6. Step 6: Final answer
    x = 454.16

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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.