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Finding the Fourth Proportional to 502.94, 754.67 and 194.78

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Solution

The fourth proportional to 502.94, 754.67 and 194.78 is: 292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.94 : 754.67 = 194.78 : x
  2. Step 2: Convert to fraction form
    502.94/754.67 = 194.78/x
  3. Step 3: Cross multiply
    502.94x = 754.67 × 194.78
  4. Step 4: Simplify right side
    502.94x = 146,997.00
  5. Step 5: Solve for x
    x = 146,997.00/502.94
  6. Step 6: Final answer
    x = 292.27

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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.