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Finding the Fourth Proportional to 540.78, 809.64 and 404.46

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Solution

The fourth proportional to 540.78, 809.64 and 404.46 is: 605.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.78 : 809.64 = 404.46 : x
  2. Step 2: Convert to fraction form
    540.78/809.64 = 404.46/x
  3. Step 3: Cross multiply
    540.78x = 809.64 × 404.46
  4. Step 4: Simplify right side
    540.78x = 327,466.99
  5. Step 5: Solve for x
    x = 327,466.99/540.78
  6. Step 6: Final answer
    x = 605.55

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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.