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Finding the Fourth Proportional to 665.31, 997.35 and 318.42

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Solution

The fourth proportional to 665.31, 997.35 and 318.42 is: 477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.31 : 997.35 = 318.42 : x
  2. Step 2: Convert to fraction form
    665.31/997.35 = 318.42/x
  3. Step 3: Cross multiply
    665.31x = 997.35 × 318.42
  4. Step 4: Simplify right side
    665.31x = 317,576.19
  5. Step 5: Solve for x
    x = 317,576.19/665.31
  6. Step 6: Final answer
    x = 477.34

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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.