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Finding the Fourth Proportional to 613.32, 919.61 and 202.34

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Solution

The fourth proportional to 613.32, 919.61 and 202.34 is: 303.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.32 : 919.61 = 202.34 : x
  2. Step 2: Convert to fraction form
    613.32/919.61 = 202.34/x
  3. Step 3: Cross multiply
    613.32x = 919.61 × 202.34
  4. Step 4: Simplify right side
    613.32x = 186,073.89
  5. Step 5: Solve for x
    x = 186,073.89/613.32
  6. Step 6: Final answer
    x = 303.39

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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.