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Finding the Fourth Proportional to 473.38, 709.90 and 165.17

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Solution

The fourth proportional to 473.38, 709.90 and 165.17 is: 247.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.38 : 709.90 = 165.17 : x
  2. Step 2: Convert to fraction form
    473.38/709.90 = 165.17/x
  3. Step 3: Cross multiply
    473.38x = 709.90 × 165.17
  4. Step 4: Simplify right side
    473.38x = 117,255.54
  5. Step 5: Solve for x
    x = 117,255.54/473.38
  6. Step 6: Final answer
    x = 247.70

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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.