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Finding the Fourth Proportional to 540.04, 809.49 and 265.75

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Solution

The fourth proportional to 540.04, 809.49 and 265.75 is: 398.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.04 : 809.49 = 265.75 : x
  2. Step 2: Convert to fraction form
    540.04/809.49 = 265.75/x
  3. Step 3: Cross multiply
    540.04x = 809.49 × 265.75
  4. Step 4: Simplify right side
    540.04x = 215,121.97
  5. Step 5: Solve for x
    x = 215,121.97/540.04
  6. Step 6: Final answer
    x = 398.34

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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.