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Finding the Fourth Proportional to 581.56, 801.96 and 523.48

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Solution

The fourth proportional to 581.56, 801.96 and 523.48 is: 721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.56 : 801.96 = 523.48 : x
  2. Step 2: Convert to fraction form
    581.56/801.96 = 523.48/x
  3. Step 3: Cross multiply
    581.56x = 801.96 × 523.48
  4. Step 4: Simplify right side
    581.56x = 419,810.02
  5. Step 5: Solve for x
    x = 419,810.02/581.56
  6. Step 6: Final answer
    x = 721.87

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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.