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Finding the Fourth Proportional to 502.88, 694.13 and 293.11

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Solution

The fourth proportional to 502.88, 694.13 and 293.11 is: 404.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.88 : 694.13 = 293.11 : x
  2. Step 2: Convert to fraction form
    502.88/694.13 = 293.11/x
  3. Step 3: Cross multiply
    502.88x = 694.13 × 293.11
  4. Step 4: Simplify right side
    502.88x = 203,453.24
  5. Step 5: Solve for x
    x = 203,453.24/502.88
  6. Step 6: Final answer
    x = 404.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.