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Finding the Fourth Proportional to 399.68, 551.64 and 233.88

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Solution

The fourth proportional to 399.68, 551.64 and 233.88 is: 322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.68 : 551.64 = 233.88 : x
  2. Step 2: Convert to fraction form
    399.68/551.64 = 233.88/x
  3. Step 3: Cross multiply
    399.68x = 551.64 × 233.88
  4. Step 4: Simplify right side
    399.68x = 129,017.56
  5. Step 5: Solve for x
    x = 129,017.56/399.68
  6. Step 6: Final answer
    x = 322.80

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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.