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Finding the Fourth Proportional to 517.14, 713.75 and 330.57

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Solution

The fourth proportional to 517.14, 713.75 and 330.57 is: 456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.14 : 713.75 = 330.57 : x
  2. Step 2: Convert to fraction form
    517.14/713.75 = 330.57/x
  3. Step 3: Cross multiply
    517.14x = 713.75 × 330.57
  4. Step 4: Simplify right side
    517.14x = 235,942.68
  5. Step 5: Solve for x
    x = 235,942.68/517.14
  6. Step 6: Final answer
    x = 456.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.