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Finding the Fourth Proportional to 605.33, 906.38 and 498.41

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Solution

The fourth proportional to 605.33, 906.38 and 498.41 is: 746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.33 : 906.38 = 498.41 : x
  2. Step 2: Convert to fraction form
    605.33/906.38 = 498.41/x
  3. Step 3: Cross multiply
    605.33x = 906.38 × 498.41
  4. Step 4: Simplify right side
    605.33x = 451,746.36
  5. Step 5: Solve for x
    x = 451,746.36/605.33
  6. Step 6: Final answer
    x = 746.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.