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Finding the Fourth Proportional to 400.28, 600.78 and 309.94

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Solution

The fourth proportional to 400.28, 600.78 and 309.94 is: 465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.28 : 600.78 = 309.94 : x
  2. Step 2: Convert to fraction form
    400.28/600.78 = 309.94/x
  3. Step 3: Cross multiply
    400.28x = 600.78 × 309.94
  4. Step 4: Simplify right side
    400.28x = 186,205.75
  5. Step 5: Solve for x
    x = 186,205.75/400.28
  6. Step 6: Final answer
    x = 465.19

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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.