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Finding the Fourth Proportional to 517.16, 713.30 and 330.45

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Solution

The fourth proportional to 517.16, 713.30 and 330.45 is: 455.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.16 : 713.30 = 330.45 : x
  2. Step 2: Convert to fraction form
    517.16/713.30 = 330.45/x
  3. Step 3: Cross multiply
    517.16x = 713.30 × 330.45
  4. Step 4: Simplify right side
    517.16x = 235,708.33
  5. Step 5: Solve for x
    x = 235,708.33/517.16
  6. Step 6: Final answer
    x = 455.78

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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.