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Finding the Fourth Proportional to 474.67, 711.87 and 162.31

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Solution

The fourth proportional to 474.67, 711.87 and 162.31 is: 243.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.67 : 711.87 = 162.31 : x
  2. Step 2: Convert to fraction form
    474.67/711.87 = 162.31/x
  3. Step 3: Cross multiply
    474.67x = 711.87 × 162.31
  4. Step 4: Simplify right side
    474.67x = 115,543.48
  5. Step 5: Solve for x
    x = 115,543.48/474.67
  6. Step 6: Final answer
    x = 243.42

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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.