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Finding the Fourth Proportional to 605.07, 906.12 and 360.84

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Solution

The fourth proportional to 605.07, 906.12 and 360.84 is: 540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.07 : 906.12 = 360.84 : x
  2. Step 2: Convert to fraction form
    605.07/906.12 = 360.84/x
  3. Step 3: Cross multiply
    605.07x = 906.12 × 360.84
  4. Step 4: Simplify right side
    605.07x = 326,964.34
  5. Step 5: Solve for x
    x = 326,964.34/605.07
  6. Step 6: Final answer
    x = 540.37

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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.