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Finding the Fourth Proportional to 524.56, 787.12 and 250.52

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Solution

The fourth proportional to 524.56, 787.12 and 250.52 is: 375.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.56 : 787.12 = 250.52 : x
  2. Step 2: Convert to fraction form
    524.56/787.12 = 250.52/x
  3. Step 3: Cross multiply
    524.56x = 787.12 × 250.52
  4. Step 4: Simplify right side
    524.56x = 197,189.30
  5. Step 5: Solve for x
    x = 197,189.30/524.56
  6. Step 6: Final answer
    x = 375.91

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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.