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Finding the Fourth Proportional to 399.67, 551.63 and 233.90

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Solution

The fourth proportional to 399.67, 551.63 and 233.90 is: 322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.67 : 551.63 = 233.90 : x
  2. Step 2: Convert to fraction form
    399.67/551.63 = 233.90/x
  3. Step 3: Cross multiply
    399.67x = 551.63 × 233.90
  4. Step 4: Simplify right side
    399.67x = 129,027.94
  5. Step 5: Solve for x
    x = 129,027.94/399.67
  6. Step 6: Final answer
    x = 322.83

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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.