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Finding the Fourth Proportional to 502.94, 693.77 and 293.02

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Solution

The fourth proportional to 502.94, 693.77 and 293.02 is: 404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.94 : 693.77 = 293.02 : x
  2. Step 2: Convert to fraction form
    502.94/693.77 = 293.02/x
  3. Step 3: Cross multiply
    502.94x = 693.77 × 293.02
  4. Step 4: Simplify right side
    502.94x = 203,285.29
  5. Step 5: Solve for x
    x = 203,285.29/502.94
  6. Step 6: Final answer
    x = 404.19

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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.