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Finding the Fourth Proportional to 540.36, 810.09 and 262.26

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Solution

The fourth proportional to 540.36, 810.09 and 262.26 is: 393.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.36 : 810.09 = 262.26 : x
  2. Step 2: Convert to fraction form
    540.36/810.09 = 262.26/x
  3. Step 3: Cross multiply
    540.36x = 810.09 × 262.26
  4. Step 4: Simplify right side
    540.36x = 212,454.20
  5. Step 5: Solve for x
    x = 212,454.20/540.36
  6. Step 6: Final answer
    x = 393.17

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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.