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Finding the Fourth Proportional to 664.65, 997.17 and 340.24

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Solution

The fourth proportional to 664.65, 997.17 and 340.24 is: 510.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.65 : 997.17 = 340.24 : x
  2. Step 2: Convert to fraction form
    664.65/997.17 = 340.24/x
  3. Step 3: Cross multiply
    664.65x = 997.17 × 340.24
  4. Step 4: Simplify right side
    664.65x = 339,279.64
  5. Step 5: Solve for x
    x = 339,279.64/664.65
  6. Step 6: Final answer
    x = 510.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.