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Finding the Fourth Proportional to 502.30, 693.24 and 305.86

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Solution

The fourth proportional to 502.30, 693.24 and 305.86 is: 422.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.30 : 693.24 = 305.86 : x
  2. Step 2: Convert to fraction form
    502.30/693.24 = 305.86/x
  3. Step 3: Cross multiply
    502.30x = 693.24 × 305.86
  4. Step 4: Simplify right side
    502.30x = 212,034.39
  5. Step 5: Solve for x
    x = 212,034.39/502.30
  6. Step 6: Final answer
    x = 422.13

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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.