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Finding the Fourth Proportional to 665.09, 997.98 and 318.20

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Solution

The fourth proportional to 665.09, 997.98 and 318.20 is: 477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.09 : 997.98 = 318.20 : x
  2. Step 2: Convert to fraction form
    665.09/997.98 = 318.20/x
  3. Step 3: Cross multiply
    665.09x = 997.98 × 318.20
  4. Step 4: Simplify right side
    665.09x = 317,557.24
  5. Step 5: Solve for x
    x = 317,557.24/665.09
  6. Step 6: Final answer
    x = 477.47

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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.