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Finding the Fourth Proportional to 473.24, 709.92 and 165

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Solution

The fourth proportional to 473.24, 709.92 and 165 is: 247.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.24 : 709.92 = 165 : x
  2. Step 2: Convert to fraction form
    473.24/709.92 = 165/x
  3. Step 3: Cross multiply
    473.24x = 709.92 × 165
  4. Step 4: Simplify right side
    473.24x = 117,136.80
  5. Step 5: Solve for x
    x = 117,136.80/473.24
  6. Step 6: Final answer
    x = 247.52

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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.