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Finding the Fourth Proportional to 540.81, 811.49 and 266.86

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Solution

The fourth proportional to 540.81, 811.49 and 266.86 is: 400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.81 : 811.49 = 266.86 : x
  2. Step 2: Convert to fraction form
    540.81/811.49 = 266.86/x
  3. Step 3: Cross multiply
    540.81x = 811.49 × 266.86
  4. Step 4: Simplify right side
    540.81x = 216,556.15
  5. Step 5: Solve for x
    x = 216,556.15/540.81
  6. Step 6: Final answer
    x = 400.43

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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.