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Finding the Fourth Proportional to 334.79, 502.23 and 197.84

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Solution

The fourth proportional to 334.79, 502.23 and 197.84 is: 296.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.79 : 502.23 = 197.84 : x
  2. Step 2: Convert to fraction form
    334.79/502.23 = 197.84/x
  3. Step 3: Cross multiply
    334.79x = 502.23 × 197.84
  4. Step 4: Simplify right side
    334.79x = 99,361.18
  5. Step 5: Solve for x
    x = 99,361.18/334.79
  6. Step 6: Final answer
    x = 296.79

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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.