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Finding the Fourth Proportional to 517.56, 713.96 and 328.59

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Solution

The fourth proportional to 517.56, 713.96 and 328.59 is: 453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.56 : 713.96 = 328.59 : x
  2. Step 2: Convert to fraction form
    517.56/713.96 = 328.59/x
  3. Step 3: Cross multiply
    517.56x = 713.96 × 328.59
  4. Step 4: Simplify right side
    517.56x = 234,599.71
  5. Step 5: Solve for x
    x = 234,599.71/517.56
  6. Step 6: Final answer
    x = 453.28

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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.