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Finding the Fourth Proportional to 517.23, 713.30 and 330.84

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Solution

The fourth proportional to 517.23, 713.30 and 330.84 is: 456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.23 : 713.30 = 330.84 : x
  2. Step 2: Convert to fraction form
    517.23/713.30 = 330.84/x
  3. Step 3: Cross multiply
    517.23x = 713.30 × 330.84
  4. Step 4: Simplify right side
    517.23x = 235,986.52
  5. Step 5: Solve for x
    x = 235,986.52/517.23
  6. Step 6: Final answer
    x = 456.25

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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.