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Finding the Fourth Proportional to 400.92, 600.30 and 297.96

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Solution

The fourth proportional to 400.92, 600.30 and 297.96 is: 446.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.92 : 600.30 = 297.96 : x
  2. Step 2: Convert to fraction form
    400.92/600.30 = 297.96/x
  3. Step 3: Cross multiply
    400.92x = 600.30 × 297.96
  4. Step 4: Simplify right side
    400.92x = 178,865.39
  5. Step 5: Solve for x
    x = 178,865.39/400.92
  6. Step 6: Final answer
    x = 446.14

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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.