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Finding the Fourth Proportional to 502.90, 693.12 and 409.44

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Solution

The fourth proportional to 502.90, 693.12 and 409.44 is: 564.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.90 : 693.12 = 409.44 : x
  2. Step 2: Convert to fraction form
    502.90/693.12 = 409.44/x
  3. Step 3: Cross multiply
    502.90x = 693.12 × 409.44
  4. Step 4: Simplify right side
    502.90x = 283,791.05
  5. Step 5: Solve for x
    x = 283,791.05/502.90
  6. Step 6: Final answer
    x = 564.31

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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.