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Finding the Fourth Proportional to 400.02, 551.96 and 234.24

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Solution

The fourth proportional to 400.02, 551.96 and 234.24 is: 323.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.02 : 551.96 = 234.24 : x
  2. Step 2: Convert to fraction form
    400.02/551.96 = 234.24/x
  3. Step 3: Cross multiply
    400.02x = 551.96 × 234.24
  4. Step 4: Simplify right side
    400.02x = 129,291.11
  5. Step 5: Solve for x
    x = 129,291.11/400.02
  6. Step 6: Final answer
    x = 323.21

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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.