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Finding the Fourth Proportional to 613.82, 920.92 and 202.96

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Solution

The fourth proportional to 613.82, 920.92 and 202.96 is: 304.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.82 : 920.92 = 202.96 : x
  2. Step 2: Convert to fraction form
    613.82/920.92 = 202.96/x
  3. Step 3: Cross multiply
    613.82x = 920.92 × 202.96
  4. Step 4: Simplify right side
    613.82x = 186,909.92
  5. Step 5: Solve for x
    x = 186,909.92/613.82
  6. Step 6: Final answer
    x = 304.50

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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.