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Finding the Fourth Proportional to 502.94, 694.05 and 293.24

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Solution

The fourth proportional to 502.94, 694.05 and 293.24 is: 404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.94 : 694.05 = 293.24 : x
  2. Step 2: Convert to fraction form
    502.94/694.05 = 293.24/x
  3. Step 3: Cross multiply
    502.94x = 694.05 × 293.24
  4. Step 4: Simplify right side
    502.94x = 203,523.22
  5. Step 5: Solve for x
    x = 203,523.22/502.94
  6. Step 6: Final answer
    x = 404.67

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Why These Related Problems?

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