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Finding the Fourth Proportional to 591.13, 815.75 and 325.57

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Solution

The fourth proportional to 591.13, 815.75 and 325.57 is: 449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.13 : 815.75 = 325.57 : x
  2. Step 2: Convert to fraction form
    591.13/815.75 = 325.57/x
  3. Step 3: Cross multiply
    591.13x = 815.75 × 325.57
  4. Step 4: Simplify right side
    591.13x = 265,581.28
  5. Step 5: Solve for x
    x = 265,581.28/591.13
  6. Step 6: Final answer
    x = 449.28

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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.