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Finding the Fourth Proportional to 446.50, 669.99 and 218.50

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Solution

The fourth proportional to 446.50, 669.99 and 218.50 is: 327.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.50 : 669.99 = 218.50 : x
  2. Step 2: Convert to fraction form
    446.50/669.99 = 218.50/x
  3. Step 3: Cross multiply
    446.50x = 669.99 × 218.50
  4. Step 4: Simplify right side
    446.50x = 146,392.82
  5. Step 5: Solve for x
    x = 146,392.82/446.50
  6. Step 6: Final answer
    x = 327.87

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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.