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Finding the Fourth Proportional to 524.87, 787.31 and 200.16

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Solution

The fourth proportional to 524.87, 787.31 and 200.16 is: 300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.87 : 787.31 = 200.16 : x
  2. Step 2: Convert to fraction form
    524.87/787.31 = 200.16/x
  3. Step 3: Cross multiply
    524.87x = 787.31 × 200.16
  4. Step 4: Simplify right side
    524.87x = 157,586.97
  5. Step 5: Solve for x
    x = 157,586.97/524.87
  6. Step 6: Final answer
    x = 300.24

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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.