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Finding the Fourth Proportional to 472.64, 709.06 and 164.50

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Solution

The fourth proportional to 472.64, 709.06 and 164.50 is: 246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.64 : 709.06 = 164.50 : x
  2. Step 2: Convert to fraction form
    472.64/709.06 = 164.50/x
  3. Step 3: Cross multiply
    472.64x = 709.06 × 164.50
  4. Step 4: Simplify right side
    472.64x = 116,640.37
  5. Step 5: Solve for x
    x = 116,640.37/472.64
  6. Step 6: Final answer
    x = 246.78

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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.