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Finding the Fourth Proportional to 446.51, 669.87 and 202.97

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Solution

The fourth proportional to 446.51, 669.87 and 202.97 is: 304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.51 : 669.87 = 202.97 : x
  2. Step 2: Convert to fraction form
    446.51/669.87 = 202.97/x
  3. Step 3: Cross multiply
    446.51x = 669.87 × 202.97
  4. Step 4: Simplify right side
    446.51x = 135,965.19
  5. Step 5: Solve for x
    x = 135,965.19/446.51
  6. Step 6: Final answer
    x = 304.50

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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.