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Finding the Fourth Proportional to 517.66, 713.48 and 443.88

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Solution

The fourth proportional to 517.66, 713.48 and 443.88 is: 611.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.66 : 713.48 = 443.88 : x
  2. Step 2: Convert to fraction form
    517.66/713.48 = 443.88/x
  3. Step 3: Cross multiply
    517.66x = 713.48 × 443.88
  4. Step 4: Simplify right side
    517.66x = 316,697.28
  5. Step 5: Solve for x
    x = 316,697.28/517.66
  6. Step 6: Final answer
    x = 611.79

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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.