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Finding the Fourth Proportional to 506.61, 699.17 and 285.57

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Solution

The fourth proportional to 506.61, 699.17 and 285.57 is: 394.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.61 : 699.17 = 285.57 : x
  2. Step 2: Convert to fraction form
    506.61/699.17 = 285.57/x
  3. Step 3: Cross multiply
    506.61x = 699.17 × 285.57
  4. Step 4: Simplify right side
    506.61x = 199,660.55
  5. Step 5: Solve for x
    x = 199,660.55/506.61
  6. Step 6: Final answer
    x = 394.11

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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.