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Finding the Fourth Proportional to 502.63, 693.42 and 355.21

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Solution

The fourth proportional to 502.63, 693.42 and 355.21 is: 490.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.63 : 693.42 = 355.21 : x
  2. Step 2: Convert to fraction form
    502.63/693.42 = 355.21/x
  3. Step 3: Cross multiply
    502.63x = 693.42 × 355.21
  4. Step 4: Simplify right side
    502.63x = 246,309.72
  5. Step 5: Solve for x
    x = 246,309.72/502.63
  6. Step 6: Final answer
    x = 490.04

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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.