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Finding the Fourth Proportional to 502.58, 753.76 and 194.42

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Solution

The fourth proportional to 502.58, 753.76 and 194.42 is: 291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.58 : 753.76 = 194.42 : x
  2. Step 2: Convert to fraction form
    502.58/753.76 = 194.42/x
  3. Step 3: Cross multiply
    502.58x = 753.76 × 194.42
  4. Step 4: Simplify right side
    502.58x = 146,546.02
  5. Step 5: Solve for x
    x = 146,546.02/502.58
  6. Step 6: Final answer
    x = 291.59

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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.