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Finding the Fourth Proportional to 540.78, 811.16 and 267.05

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Solution

The fourth proportional to 540.78, 811.16 and 267.05 is: 400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.78 : 811.16 = 267.05 : x
  2. Step 2: Convert to fraction form
    540.78/811.16 = 267.05/x
  3. Step 3: Cross multiply
    540.78x = 811.16 × 267.05
  4. Step 4: Simplify right side
    540.78x = 216,614.89
  5. Step 5: Solve for x
    x = 216,614.89/540.78
  6. Step 6: Final answer
    x = 400.56

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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.