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Finding the Fourth Proportional to 524.94, 787.41 and 250.97

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Solution

The fourth proportional to 524.94, 787.41 and 250.97 is: 376.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.94 : 787.41 = 250.97 : x
  2. Step 2: Convert to fraction form
    524.94/787.41 = 250.97/x
  3. Step 3: Cross multiply
    524.94x = 787.41 × 250.97
  4. Step 4: Simplify right side
    524.94x = 197,611.10
  5. Step 5: Solve for x
    x = 197,611.10/524.94
  6. Step 6: Final answer
    x = 376.45

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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.