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Finding the Fourth Proportional to 400.10, 551.94 and 252.77

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Solution

The fourth proportional to 400.10, 551.94 and 252.77 is: 348.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.10 : 551.94 = 252.77 : x
  2. Step 2: Convert to fraction form
    400.10/551.94 = 252.77/x
  3. Step 3: Cross multiply
    400.10x = 551.94 × 252.77
  4. Step 4: Simplify right side
    400.10x = 139,513.87
  5. Step 5: Solve for x
    x = 139,513.87/400.10
  6. Step 6: Final answer
    x = 348.70

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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.