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Finding the Fourth Proportional to 613.07, 919.75 and 202.24

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Solution

The fourth proportional to 613.07, 919.75 and 202.24 is: 303.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.07 : 919.75 = 202.24 : x
  2. Step 2: Convert to fraction form
    613.07/919.75 = 202.24/x
  3. Step 3: Cross multiply
    613.07x = 919.75 × 202.24
  4. Step 4: Simplify right side
    613.07x = 186,010.24
  5. Step 5: Solve for x
    x = 186,010.24/613.07
  6. Step 6: Final answer
    x = 303.41

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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.