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Finding the Fourth Proportional to 502.53, 693.53 and 305.97

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Solution

The fourth proportional to 502.53, 693.53 and 305.97 is: 422.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.53 : 693.53 = 305.97 : x
  2. Step 2: Convert to fraction form
    502.53/693.53 = 305.97/x
  3. Step 3: Cross multiply
    502.53x = 693.53 × 305.97
  4. Step 4: Simplify right side
    502.53x = 212,199.37
  5. Step 5: Solve for x
    x = 212,199.37/502.53
  6. Step 6: Final answer
    x = 422.26

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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.