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Finding the Fourth Proportional to 540.86, 810.02 and 418.73

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Solution

The fourth proportional to 540.86, 810.02 and 418.73 is: 627.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.86 : 810.02 = 418.73 : x
  2. Step 2: Convert to fraction form
    540.86/810.02 = 418.73/x
  3. Step 3: Cross multiply
    540.86x = 810.02 × 418.73
  4. Step 4: Simplify right side
    540.86x = 339,175.62
  5. Step 5: Solve for x
    x = 339,175.62/540.86
  6. Step 6: Final answer
    x = 627.11

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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.