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Finding the Fourth Proportional to 506.95, 699.57 and 285.91

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Solution

The fourth proportional to 506.95, 699.57 and 285.91 is: 394.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.95 : 699.57 = 285.91 : x
  2. Step 2: Convert to fraction form
    506.95/699.57 = 285.91/x
  3. Step 3: Cross multiply
    506.95x = 699.57 × 285.91
  4. Step 4: Simplify right side
    506.95x = 200,010.56
  5. Step 5: Solve for x
    x = 200,010.56/506.95
  6. Step 6: Final answer
    x = 394.54

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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.