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Finding the Fourth Proportional to 540.29, 810.09 and 266.51

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Solution

The fourth proportional to 540.29, 810.09 and 266.51 is: 399.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.29 : 810.09 = 266.51 : x
  2. Step 2: Convert to fraction form
    540.29/810.09 = 266.51/x
  3. Step 3: Cross multiply
    540.29x = 810.09 × 266.51
  4. Step 4: Simplify right side
    540.29x = 215,893.04
  5. Step 5: Solve for x
    x = 215,893.04/540.29
  6. Step 6: Final answer
    x = 399.59

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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.