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Finding the Fourth Proportional to 400.28, 551.76 and 366.80

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Solution

The fourth proportional to 400.28, 551.76 and 366.80 is: 505.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.28 : 551.76 = 366.80 : x
  2. Step 2: Convert to fraction form
    400.28/551.76 = 366.80/x
  3. Step 3: Cross multiply
    400.28x = 551.76 × 366.80
  4. Step 4: Simplify right side
    400.28x = 202,385.57
  5. Step 5: Solve for x
    x = 202,385.57/400.28
  6. Step 6: Final answer
    x = 505.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.