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Finding the Fourth Proportional to 524.97, 787.43 and 159.73

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Solution

The fourth proportional to 524.97, 787.43 and 159.73 is: 239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.97 : 787.43 = 159.73 : x
  2. Step 2: Convert to fraction form
    524.97/787.43 = 159.73/x
  3. Step 3: Cross multiply
    524.97x = 787.43 × 159.73
  4. Step 4: Simplify right side
    524.97x = 125,776.98
  5. Step 5: Solve for x
    x = 125,776.98/524.97
  6. Step 6: Final answer
    x = 239.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.