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Finding the Fourth Proportional to 400.19, 551.89 and 252.56

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Solution

The fourth proportional to 400.19, 551.89 and 252.56 is: 348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.19 : 551.89 = 252.56 : x
  2. Step 2: Convert to fraction form
    400.19/551.89 = 252.56/x
  3. Step 3: Cross multiply
    400.19x = 551.89 × 252.56
  4. Step 4: Simplify right side
    400.19x = 139,386.09
  5. Step 5: Solve for x
    x = 139,386.09/400.19
  6. Step 6: Final answer
    x = 348.30

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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.