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Finding the Fourth Proportional to 362.78, 543.75 and 232.85

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Solution

The fourth proportional to 362.78, 543.75 and 232.85 is: 349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.78 : 543.75 = 232.85 : x
  2. Step 2: Convert to fraction form
    362.78/543.75 = 232.85/x
  3. Step 3: Cross multiply
    362.78x = 543.75 × 232.85
  4. Step 4: Simplify right side
    362.78x = 126,612.19
  5. Step 5: Solve for x
    x = 126,612.19/362.78
  6. Step 6: Final answer
    x = 349.01

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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.