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Finding the Fourth Proportional to 605.82, 909.12 and 240.90

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Solution

The fourth proportional to 605.82, 909.12 and 240.90 is: 361.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.82 : 909.12 = 240.90 : x
  2. Step 2: Convert to fraction form
    605.82/909.12 = 240.90/x
  3. Step 3: Cross multiply
    605.82x = 909.12 × 240.90
  4. Step 4: Simplify right side
    605.82x = 219,007.01
  5. Step 5: Solve for x
    x = 219,007.01/605.82
  6. Step 6: Final answer
    x = 361.51

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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.