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Finding the Fourth Proportional to 488.96, 733.47 and 196.42

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Solution

The fourth proportional to 488.96, 733.47 and 196.42 is: 294.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.96 : 733.47 = 196.42 : x
  2. Step 2: Convert to fraction form
    488.96/733.47 = 196.42/x
  3. Step 3: Cross multiply
    488.96x = 733.47 × 196.42
  4. Step 4: Simplify right side
    488.96x = 144,066.52
  5. Step 5: Solve for x
    x = 144,066.52/488.96
  6. Step 6: Final answer
    x = 294.64

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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.