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Finding the Fourth Proportional to 540.12, 810.39 and 334.83

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Solution

The fourth proportional to 540.12, 810.39 and 334.83 is: 502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.12 : 810.39 = 334.83 : x
  2. Step 2: Convert to fraction form
    540.12/810.39 = 334.83/x
  3. Step 3: Cross multiply
    540.12x = 810.39 × 334.83
  4. Step 4: Simplify right side
    540.12x = 271,342.88
  5. Step 5: Solve for x
    x = 271,342.88/540.12
  6. Step 6: Final answer
    x = 502.38

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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.