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Finding the Fourth Proportional to 517.35, 713.73 and 330.79

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Solution

The fourth proportional to 517.35, 713.73 and 330.79 is: 456.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.35 : 713.73 = 330.79 : x
  2. Step 2: Convert to fraction form
    517.35/713.73 = 330.79/x
  3. Step 3: Cross multiply
    517.35x = 713.73 × 330.79
  4. Step 4: Simplify right side
    517.35x = 236,094.75
  5. Step 5: Solve for x
    x = 236,094.75/517.35
  6. Step 6: Final answer
    x = 456.35

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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.