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Finding the Fourth Proportional to 399.77, 551.73 and 275.49

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Solution

The fourth proportional to 399.77, 551.73 and 275.49 is: 380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.77 : 551.73 = 275.49 : x
  2. Step 2: Convert to fraction form
    399.77/551.73 = 275.49/x
  3. Step 3: Cross multiply
    399.77x = 551.73 × 275.49
  4. Step 4: Simplify right side
    399.77x = 151,996.10
  5. Step 5: Solve for x
    x = 151,996.10/399.77
  6. Step 6: Final answer
    x = 380.21

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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.