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Finding the Fourth Proportional to 502.37, 752.20 and 409.44

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Solution

The fourth proportional to 502.37, 752.20 and 409.44 is: 613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.37 : 752.20 = 409.44 : x
  2. Step 2: Convert to fraction form
    502.37/752.20 = 409.44/x
  3. Step 3: Cross multiply
    502.37x = 752.20 × 409.44
  4. Step 4: Simplify right side
    502.37x = 307,982.22
  5. Step 5: Solve for x
    x = 307,982.22/502.37
  6. Step 6: Final answer
    x = 613.06

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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.