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Finding the Fourth Proportional to 524.92, 787.14 and 281.56

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Solution

The fourth proportional to 524.92, 787.14 and 281.56 is: 422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.92 : 787.14 = 281.56 : x
  2. Step 2: Convert to fraction form
    524.92/787.14 = 281.56/x
  3. Step 3: Cross multiply
    524.92x = 787.14 × 281.56
  4. Step 4: Simplify right side
    524.92x = 221,627.14
  5. Step 5: Solve for x
    x = 221,627.14/524.92
  6. Step 6: Final answer
    x = 422.21

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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.