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Finding the Fourth Proportional to 283.78, 424.84 and 232.34

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Solution

The fourth proportional to 283.78, 424.84 and 232.34 is: 347.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.78 : 424.84 = 232.34 : x
  2. Step 2: Convert to fraction form
    283.78/424.84 = 232.34/x
  3. Step 3: Cross multiply
    283.78x = 424.84 × 232.34
  4. Step 4: Simplify right side
    283.78x = 98,707.33
  5. Step 5: Solve for x
    x = 98,707.33/283.78
  6. Step 6: Final answer
    x = 347.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.