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Finding the Fourth Proportional to 665.53, 997.59 and 318.65

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Solution

The fourth proportional to 665.53, 997.59 and 318.65 is: 477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.53 : 997.59 = 318.65 : x
  2. Step 2: Convert to fraction form
    665.53/997.59 = 318.65/x
  3. Step 3: Cross multiply
    665.53x = 997.59 × 318.65
  4. Step 4: Simplify right side
    665.53x = 317,882.05
  5. Step 5: Solve for x
    x = 317,882.05/665.53
  6. Step 6: Final answer
    x = 477.64

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Why These Related Problems?

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