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Finding the Fourth Proportional to 400.34, 551.73 and 326.42

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Solution

The fourth proportional to 400.34, 551.73 and 326.42 is: 449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.34 : 551.73 = 326.42 : x
  2. Step 2: Convert to fraction form
    400.34/551.73 = 326.42/x
  3. Step 3: Cross multiply
    400.34x = 551.73 × 326.42
  4. Step 4: Simplify right side
    400.34x = 180,095.71
  5. Step 5: Solve for x
    x = 180,095.71/400.34
  6. Step 6: Final answer
    x = 449.86

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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.