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Finding the Fourth Proportional to 506.47, 698.96 and 285.44

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Solution

The fourth proportional to 506.47, 698.96 and 285.44 is: 393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.47 : 698.96 = 285.44 : x
  2. Step 2: Convert to fraction form
    506.47/698.96 = 285.44/x
  3. Step 3: Cross multiply
    506.47x = 698.96 × 285.44
  4. Step 4: Simplify right side
    506.47x = 199,511.14
  5. Step 5: Solve for x
    x = 199,511.14/506.47
  6. Step 6: Final answer
    x = 393.92

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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.