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Finding the Fourth Proportional to 472.84, 709.44 and 164.73

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Solution

The fourth proportional to 472.84, 709.44 and 164.73 is: 247.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.84 : 709.44 = 164.73 : x
  2. Step 2: Convert to fraction form
    472.84/709.44 = 164.73/x
  3. Step 3: Cross multiply
    472.84x = 709.44 × 164.73
  4. Step 4: Simplify right side
    472.84x = 116,866.05
  5. Step 5: Solve for x
    x = 116,866.05/472.84
  6. Step 6: Final answer
    x = 247.16

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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.