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Finding the Fourth Proportional to 540.12, 810.42 and 232.05

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Solution

The fourth proportional to 540.12, 810.42 and 232.05 is: 348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.12 : 810.42 = 232.05 : x
  2. Step 2: Convert to fraction form
    540.12/810.42 = 232.05/x
  3. Step 3: Cross multiply
    540.12x = 810.42 × 232.05
  4. Step 4: Simplify right side
    540.12x = 188,057.96
  5. Step 5: Solve for x
    x = 188,057.96/540.12
  6. Step 6: Final answer
    x = 348.18

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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.