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Finding the Fourth Proportional to 605.18, 906.42 and 496.78

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Solution

The fourth proportional to 605.18, 906.42 and 496.78 is: 744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.18 : 906.42 = 496.78 : x
  2. Step 2: Convert to fraction form
    605.18/906.42 = 496.78/x
  3. Step 3: Cross multiply
    605.18x = 906.42 × 496.78
  4. Step 4: Simplify right side
    605.18x = 450,291.33
  5. Step 5: Solve for x
    x = 450,291.33/605.18
  6. Step 6: Final answer
    x = 744.06

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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.