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Finding the Fourth Proportional to 539.83, 809.34 and 265.78

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Solution

The fourth proportional to 539.83, 809.34 and 265.78 is: 398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.83 : 809.34 = 265.78 : x
  2. Step 2: Convert to fraction form
    539.83/809.34 = 265.78/x
  3. Step 3: Cross multiply
    539.83x = 809.34 × 265.78
  4. Step 4: Simplify right side
    539.83x = 215,106.39
  5. Step 5: Solve for x
    x = 215,106.39/539.83
  6. Step 6: Final answer
    x = 398.47

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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.