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Finding the Fourth Proportional to 345.43, 476.55 and 234.73

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Solution

The fourth proportional to 345.43, 476.55 and 234.73 is: 323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.43 : 476.55 = 234.73 : x
  2. Step 2: Convert to fraction form
    345.43/476.55 = 234.73/x
  3. Step 3: Cross multiply
    345.43x = 476.55 × 234.73
  4. Step 4: Simplify right side
    345.43x = 111,860.58
  5. Step 5: Solve for x
    x = 111,860.58/345.43
  6. Step 6: Final answer
    x = 323.83

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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.