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Finding the Fourth Proportional to 539.50, 809.45 and 323.23

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Solution

The fourth proportional to 539.50, 809.45 and 323.23 is: 484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.50 : 809.45 = 323.23 : x
  2. Step 2: Convert to fraction form
    539.50/809.45 = 323.23/x
  3. Step 3: Cross multiply
    539.50x = 809.45 × 323.23
  4. Step 4: Simplify right side
    539.50x = 261,632.86
  5. Step 5: Solve for x
    x = 261,632.86/539.50
  6. Step 6: Final answer
    x = 484.96

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1.5x scale

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.