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Finding the Fourth Proportional to 502.69, 753.89 and 194.49

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Solution

The fourth proportional to 502.69, 753.89 and 194.49 is: 291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.69 : 753.89 = 194.49 : x
  2. Step 2: Convert to fraction form
    502.69/753.89 = 194.49/x
  3. Step 3: Cross multiply
    502.69x = 753.89 × 194.49
  4. Step 4: Simplify right side
    502.69x = 146,624.07
  5. Step 5: Solve for x
    x = 146,624.07/502.69
  6. Step 6: Final answer
    x = 291.68

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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.