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Finding the Fourth Proportional to 399.80, 551.52 and 234.02

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Solution

The fourth proportional to 399.80, 551.52 and 234.02 is: 322.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.80 : 551.52 = 234.02 : x
  2. Step 2: Convert to fraction form
    399.80/551.52 = 234.02/x
  3. Step 3: Cross multiply
    399.80x = 551.52 × 234.02
  4. Step 4: Simplify right side
    399.80x = 129,066.71
  5. Step 5: Solve for x
    x = 129,066.71/399.80
  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.