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Finding the Fourth Proportional to 472.72, 709.17 and 164.49

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Solution

The fourth proportional to 472.72, 709.17 and 164.49 is: 246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.72 : 709.17 = 164.49 : x
  2. Step 2: Convert to fraction form
    472.72/709.17 = 164.49/x
  3. Step 3: Cross multiply
    472.72x = 709.17 × 164.49
  4. Step 4: Simplify right side
    472.72x = 116,651.37
  5. Step 5: Solve for x
    x = 116,651.37/472.72
  6. Step 6: Final answer
    x = 246.77

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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.