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Finding the Fourth Proportional to 362.06, 543.23 and 232.01

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Solution

The fourth proportional to 362.06, 543.23 and 232.01 is: 348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.06 : 543.23 = 232.01 : x
  2. Step 2: Convert to fraction form
    362.06/543.23 = 232.01/x
  3. Step 3: Cross multiply
    362.06x = 543.23 × 232.01
  4. Step 4: Simplify right side
    362.06x = 126,034.79
  5. Step 5: Solve for x
    x = 126,034.79/362.06
  6. Step 6: Final answer
    x = 348.10

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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.