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Finding the Fourth Proportional to 472.85, 709.01 and 164.67

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Solution

The fourth proportional to 472.85, 709.01 and 164.67 is: 246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.85 : 709.01 = 164.67 : x
  2. Step 2: Convert to fraction form
    472.85/709.01 = 164.67/x
  3. Step 3: Cross multiply
    472.85x = 709.01 × 164.67
  4. Step 4: Simplify right side
    472.85x = 116,752.68
  5. Step 5: Solve for x
    x = 116,752.68/472.85
  6. Step 6: Final answer
    x = 246.91

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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.