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Finding the Fourth Proportional to 517.06, 713.62 and 330.64

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Solution

The fourth proportional to 517.06, 713.62 and 330.64 is: 456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.06 : 713.62 = 330.64 : x
  2. Step 2: Convert to fraction form
    517.06/713.62 = 330.64/x
  3. Step 3: Cross multiply
    517.06x = 713.62 × 330.64
  4. Step 4: Simplify right side
    517.06x = 235,951.32
  5. Step 5: Solve for x
    x = 235,951.32/517.06
  6. Step 6: Final answer
    x = 456.33

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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.