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Finding the Fourth Proportional to 605.20, 906.99 and 258.34

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Solution

The fourth proportional to 605.20, 906.99 and 258.34 is: 387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.20 : 906.99 = 258.34 : x
  2. Step 2: Convert to fraction form
    605.20/906.99 = 258.34/x
  3. Step 3: Cross multiply
    605.20x = 906.99 × 258.34
  4. Step 4: Simplify right side
    605.20x = 234,311.80
  5. Step 5: Solve for x
    x = 234,311.80/605.20
  6. Step 6: Final answer
    x = 387.16

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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.