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Finding the Fourth Proportional to 540.06, 809.70 and 366.90

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Solution

The fourth proportional to 540.06, 809.70 and 366.90 is: 550.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.06 : 809.70 = 366.90 : x
  2. Step 2: Convert to fraction form
    540.06/809.70 = 366.90/x
  3. Step 3: Cross multiply
    540.06x = 809.70 × 366.90
  4. Step 4: Simplify right side
    540.06x = 297,078.93
  5. Step 5: Solve for x
    x = 297,078.93/540.06
  6. Step 6: Final answer
    x = 550.09

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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.