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Finding the Fourth Proportional to 524.92, 786.92 and 250.96

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Solution

The fourth proportional to 524.92, 786.92 and 250.96 is: 376.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.92 : 786.92 = 250.96 : x
  2. Step 2: Convert to fraction form
    524.92/786.92 = 250.96/x
  3. Step 3: Cross multiply
    524.92x = 786.92 × 250.96
  4. Step 4: Simplify right side
    524.92x = 197,485.44
  5. Step 5: Solve for x
    x = 197,485.44/524.92
  6. Step 6: Final answer
    x = 376.22

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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.