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Finding the Fourth Proportional to 613.07, 919.40 and 202.11

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Solution

The fourth proportional to 613.07, 919.40 and 202.11 is: 303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.07 : 919.40 = 202.11 : x
  2. Step 2: Convert to fraction form
    613.07/919.40 = 202.11/x
  3. Step 3: Cross multiply
    613.07x = 919.40 × 202.11
  4. Step 4: Simplify right side
    613.07x = 185,820.44
  5. Step 5: Solve for x
    x = 185,820.44/613.07
  6. Step 6: Final answer
    x = 303.10

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1.5x scale

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.