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Finding the Fourth Proportional to 506.56, 698.97 and 285.43

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Solution

The fourth proportional to 506.56, 698.97 and 285.43 is: 393.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.56 : 698.97 = 285.43 : x
  2. Step 2: Convert to fraction form
    506.56/698.97 = 285.43/x
  3. Step 3: Cross multiply
    506.56x = 698.97 × 285.43
  4. Step 4: Simplify right side
    506.56x = 199,507.01
  5. Step 5: Solve for x
    x = 199,507.01/506.56
  6. Step 6: Final answer
    x = 393.85

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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.