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Finding the Fourth Proportional to 506.75, 699.34 and 285.77

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Solution

The fourth proportional to 506.75, 699.34 and 285.77 is: 394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.75 : 699.34 = 285.77 : x
  2. Step 2: Convert to fraction form
    506.75/699.34 = 285.77/x
  3. Step 3: Cross multiply
    506.75x = 699.34 × 285.77
  4. Step 4: Simplify right side
    506.75x = 199,846.18
  5. Step 5: Solve for x
    x = 199,846.18/506.75
  6. Step 6: Final answer
    x = 394.37

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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.