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Finding the Fourth Proportional to 506.74, 699.23 and 285.65

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Solution

The fourth proportional to 506.74, 699.23 and 285.65 is: 394.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.74 : 699.23 = 285.65 : x
  2. Step 2: Convert to fraction form
    506.74/699.23 = 285.65/x
  3. Step 3: Cross multiply
    506.74x = 699.23 × 285.65
  4. Step 4: Simplify right side
    506.74x = 199,735.05
  5. Step 5: Solve for x
    x = 199,735.05/506.74
  6. Step 6: Final answer
    x = 394.16

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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.