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Finding the Fourth Proportional to 297.46, 444.37 and 286.66

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Solution

The fourth proportional to 297.46, 444.37 and 286.66 is: 428.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.46 : 444.37 = 286.66 : x
  2. Step 2: Convert to fraction form
    297.46/444.37 = 286.66/x
  3. Step 3: Cross multiply
    297.46x = 444.37 × 286.66
  4. Step 4: Simplify right side
    297.46x = 127,380.88
  5. Step 5: Solve for x
    x = 127,380.88/297.46
  6. Step 6: Final answer
    x = 428.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.