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Finding the Fourth Proportional to 502.37, 693.28 and 305.88

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Solution

The fourth proportional to 502.37, 693.28 and 305.88 is: 422.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.37 : 693.28 = 305.88 : x
  2. Step 2: Convert to fraction form
    502.37/693.28 = 305.88/x
  3. Step 3: Cross multiply
    502.37x = 693.28 × 305.88
  4. Step 4: Simplify right side
    502.37x = 212,060.49
  5. Step 5: Solve for x
    x = 212,060.49/502.37
  6. Step 6: Final answer
    x = 422.12

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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.