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Finding the Fourth Proportional to 283.43, 390.79 and 233.46

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Solution

The fourth proportional to 283.43, 390.79 and 233.46 is: 321.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.43 : 390.79 = 233.46 : x
  2. Step 2: Convert to fraction form
    283.43/390.79 = 233.46/x
  3. Step 3: Cross multiply
    283.43x = 390.79 × 233.46
  4. Step 4: Simplify right side
    283.43x = 91,233.83
  5. Step 5: Solve for x
    x = 91,233.83/283.43
  6. Step 6: Final answer
    x = 321.89

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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.