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Finding the Fourth Proportional to 540.18, 809.55 and 266.13

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Solution

The fourth proportional to 540.18, 809.55 and 266.13 is: 398.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.18 : 809.55 = 266.13 : x
  2. Step 2: Convert to fraction form
    540.18/809.55 = 266.13/x
  3. Step 3: Cross multiply
    540.18x = 809.55 × 266.13
  4. Step 4: Simplify right side
    540.18x = 215,445.54
  5. Step 5: Solve for x
    x = 215,445.54/540.18
  6. Step 6: Final answer
    x = 398.84

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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.