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Finding the Fourth Proportional to 506.92, 699.50 and 285.87

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Solution

The fourth proportional to 506.92, 699.50 and 285.87 is: 394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.92 : 699.50 = 285.87 : x
  2. Step 2: Convert to fraction form
    506.92/699.50 = 285.87/x
  3. Step 3: Cross multiply
    506.92x = 699.50 × 285.87
  4. Step 4: Simplify right side
    506.92x = 199,966.07
  5. Step 5: Solve for x
    x = 199,966.07/506.92
  6. Step 6: Final answer
    x = 394.47

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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.