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Finding the Fourth Proportional to 399.74, 551.62 and 233.94

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Solution

The fourth proportional to 399.74, 551.62 and 233.94 is: 322.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.74 : 551.62 = 233.94 : x
  2. Step 2: Convert to fraction form
    399.74/551.62 = 233.94/x
  3. Step 3: Cross multiply
    399.74x = 551.62 × 233.94
  4. Step 4: Simplify right side
    399.74x = 129,045.98
  5. Step 5: Solve for x
    x = 129,045.98/399.74
  6. Step 6: Final answer
    x = 322.82

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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.