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Finding the Fourth Proportional to 539.46, 809.46 and 356.40

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Solution

The fourth proportional to 539.46, 809.46 and 356.40 is: 534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.46 : 809.46 = 356.40 : x
  2. Step 2: Convert to fraction form
    539.46/809.46 = 356.40/x
  3. Step 3: Cross multiply
    539.46x = 809.46 × 356.40
  4. Step 4: Simplify right side
    539.46x = 288,491.54
  5. Step 5: Solve for x
    x = 288,491.54/539.46
  6. Step 6: Final answer
    x = 534.78

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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.