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Finding the Fourth Proportional to 613.08, 919.43 and 202.12

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Solution

The fourth proportional to 613.08, 919.43 and 202.12 is: 303.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.08 : 919.43 = 202.12 : x
  2. Step 2: Convert to fraction form
    613.08/919.43 = 202.12/x
  3. Step 3: Cross multiply
    613.08x = 919.43 × 202.12
  4. Step 4: Simplify right side
    613.08x = 185,834.18
  5. Step 5: Solve for x
    x = 185,834.18/613.08
  6. Step 6: Final answer
    x = 303.11

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Double scale
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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.