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Finding the Fourth Proportional to 502.86, 693.93 and 293.10

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Solution

The fourth proportional to 502.86, 693.93 and 293.10 is: 404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.86 : 693.93 = 293.10 : x
  2. Step 2: Convert to fraction form
    502.86/693.93 = 293.10/x
  3. Step 3: Cross multiply
    502.86x = 693.93 × 293.10
  4. Step 4: Simplify right side
    502.86x = 203,389.66
  5. Step 5: Solve for x
    x = 203,389.66/502.86
  6. Step 6: Final answer
    x = 404.47

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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.