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Finding the Fourth Proportional to 613.05, 919.68 and 202.05

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Solution

The fourth proportional to 613.05, 919.68 and 202.05 is: 303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.05 : 919.68 = 202.05 : x
  2. Step 2: Convert to fraction form
    613.05/919.68 = 202.05/x
  3. Step 3: Cross multiply
    613.05x = 919.68 × 202.05
  4. Step 4: Simplify right side
    613.05x = 185,821.34
  5. Step 5: Solve for x
    x = 185,821.34/613.05
  6. Step 6: Final answer
    x = 303.11

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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.