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Finding the Fourth Proportional to 446.97, 670.91 and 203.66

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Solution

The fourth proportional to 446.97, 670.91 and 203.66 is: 305.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.97 : 670.91 = 203.66 : x
  2. Step 2: Convert to fraction form
    446.97/670.91 = 203.66/x
  3. Step 3: Cross multiply
    446.97x = 670.91 × 203.66
  4. Step 4: Simplify right side
    446.97x = 136,640.02
  5. Step 5: Solve for x
    x = 136,640.02/446.97
  6. Step 6: Final answer
    x = 305.70

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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.