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Finding the Fourth Proportional to 540.37, 809.91 and 265.84

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Solution

The fourth proportional to 540.37, 809.91 and 265.84 is: 398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.37 : 809.91 = 265.84 : x
  2. Step 2: Convert to fraction form
    540.37/809.91 = 265.84/x
  3. Step 3: Cross multiply
    540.37x = 809.91 × 265.84
  4. Step 4: Simplify right side
    540.37x = 215,306.47
  5. Step 5: Solve for x
    x = 215,306.47/540.37
  6. Step 6: Final answer
    x = 398.44

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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.