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Finding the Fourth Proportional to 605.02, 906.85 and 399.73

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Solution

The fourth proportional to 605.02, 906.85 and 399.73 is: 599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.02 : 906.85 = 399.73 : x
  2. Step 2: Convert to fraction form
    605.02/906.85 = 399.73/x
  3. Step 3: Cross multiply
    605.02x = 906.85 × 399.73
  4. Step 4: Simplify right side
    605.02x = 362,495.15
  5. Step 5: Solve for x
    x = 362,495.15/605.02
  6. Step 6: Final answer
    x = 599.15

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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.