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Finding the Fourth Proportional to 502.36, 749.81 and 421.48

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Solution

The fourth proportional to 502.36, 749.81 and 421.48 is: 629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.36 : 749.81 = 421.48 : x
  2. Step 2: Convert to fraction form
    502.36/749.81 = 421.48/x
  3. Step 3: Cross multiply
    502.36x = 749.81 × 421.48
  4. Step 4: Simplify right side
    502.36x = 316,029.92
  5. Step 5: Solve for x
    x = 316,029.92/502.36
  6. Step 6: Final answer
    x = 629.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.