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Finding the Fourth Proportional to 540.16, 810.19 and 232.05

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Solution

The fourth proportional to 540.16, 810.19 and 232.05 is: 348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.16 : 810.19 = 232.05 : x
  2. Step 2: Convert to fraction form
    540.16/810.19 = 232.05/x
  3. Step 3: Cross multiply
    540.16x = 810.19 × 232.05
  4. Step 4: Simplify right side
    540.16x = 188,004.59
  5. Step 5: Solve for x
    x = 188,004.59/540.16
  6. Step 6: Final answer
    x = 348.05

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