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Finding the Fourth Proportional to 613.01, 919.55 and 202.19

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Solution

The fourth proportional to 613.01, 919.55 and 202.19 is: 303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.01 : 919.55 = 202.19 : x
  2. Step 2: Convert to fraction form
    613.01/919.55 = 202.19/x
  3. Step 3: Cross multiply
    613.01x = 919.55 × 202.19
  4. Step 4: Simplify right side
    613.01x = 185,918.58
  5. Step 5: Solve for x
    x = 185,918.58/613.01
  6. Step 6: Final answer
    x = 303.29

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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.