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Finding the Fourth Proportional to 540.37, 810.15 and 266.32

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Solution

The fourth proportional to 540.37, 810.15 and 266.32 is: 399.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.37 : 810.15 = 266.32 : x
  2. Step 2: Convert to fraction form
    540.37/810.15 = 266.32/x
  3. Step 3: Cross multiply
    540.37x = 810.15 × 266.32
  4. Step 4: Simplify right side
    540.37x = 215,759.15
  5. Step 5: Solve for x
    x = 215,759.15/540.37
  6. Step 6: Final answer
    x = 399.28

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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.