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Finding the Fourth Proportional to 506.27, 698.56 and 285.23

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Solution

The fourth proportional to 506.27, 698.56 and 285.23 is: 393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.27 : 698.56 = 285.23 : x
  2. Step 2: Convert to fraction form
    506.27/698.56 = 285.23/x
  3. Step 3: Cross multiply
    506.27x = 698.56 × 285.23
  4. Step 4: Simplify right side
    506.27x = 199,249.75
  5. Step 5: Solve for x
    x = 199,249.75/506.27
  6. Step 6: Final answer
    x = 393.57

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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.