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Finding the Fourth Proportional to 665.65, 997.54 and 340.33

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Solution

The fourth proportional to 665.65, 997.54 and 340.33 is: 510.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.65 : 997.54 = 340.33 : x
  2. Step 2: Convert to fraction form
    665.65/997.54 = 340.33/x
  3. Step 3: Cross multiply
    665.65x = 997.54 × 340.33
  4. Step 4: Simplify right side
    665.65x = 339,487.80
  5. Step 5: Solve for x
    x = 339,487.80/665.65
  6. Step 6: Final answer
    x = 510.01

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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.