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Finding the Fourth Proportional to 540.06, 810.60 and 266.33

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Solution

The fourth proportional to 540.06, 810.60 and 266.33 is: 399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.06 : 810.60 = 266.33 : x
  2. Step 2: Convert to fraction form
    540.06/810.60 = 266.33/x
  3. Step 3: Cross multiply
    540.06x = 810.60 × 266.33
  4. Step 4: Simplify right side
    540.06x = 215,888.13
  5. Step 5: Solve for x
    x = 215,888.13/540.06
  6. Step 6: Final answer
    x = 399.75

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Why These Related Problems?

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