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Finding the Fourth Proportional to 540.47, 810.80 and 266.59

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Solution

The fourth proportional to 540.47, 810.80 and 266.59 is: 399.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.47 : 810.80 = 266.59 : x
  2. Step 2: Convert to fraction form
    540.47/810.80 = 266.59/x
  3. Step 3: Cross multiply
    540.47x = 810.80 × 266.59
  4. Step 4: Simplify right side
    540.47x = 216,149.84
  5. Step 5: Solve for x
    x = 216,149.84/540.47
  6. Step 6: Final answer
    x = 399.93

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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.