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Finding the Fourth Proportional to 446.70, 669.87 and 179.47

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Solution

The fourth proportional to 446.70, 669.87 and 179.47 is: 269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.70 : 669.87 = 179.47 : x
  2. Step 2: Convert to fraction form
    446.70/669.87 = 179.47/x
  3. Step 3: Cross multiply
    446.70x = 669.87 × 179.47
  4. Step 4: Simplify right side
    446.70x = 120,221.57
  5. Step 5: Solve for x
    x = 120,221.57/446.70
  6. Step 6: Final answer
    x = 269.13

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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.