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Finding the Fourth Proportional to 665.34, 997.31 and 318.15

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Solution

The fourth proportional to 665.34, 997.31 and 318.15 is: 476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.34 : 997.31 = 318.15 : x
  2. Step 2: Convert to fraction form
    665.34/997.31 = 318.15/x
  3. Step 3: Cross multiply
    665.34x = 997.31 × 318.15
  4. Step 4: Simplify right side
    665.34x = 317,294.18
  5. Step 5: Solve for x
    x = 317,294.18/665.34
  6. Step 6: Final answer
    x = 476.89

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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.