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Finding the Fourth Proportional to 517.25, 713.69 and 330.63

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Solution

The fourth proportional to 517.25, 713.69 and 330.63 is: 456.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.25 : 713.69 = 330.63 : x
  2. Step 2: Convert to fraction form
    517.25/713.69 = 330.63/x
  3. Step 3: Cross multiply
    517.25x = 713.69 × 330.63
  4. Step 4: Simplify right side
    517.25x = 235,965.67
  5. Step 5: Solve for x
    x = 235,965.67/517.25
  6. Step 6: Final answer
    x = 456.20

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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.