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Finding the Fourth Proportional to 524.56, 787.20 and 308.44

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Solution

The fourth proportional to 524.56, 787.20 and 308.44 is: 462.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.56 : 787.20 = 308.44 : x
  2. Step 2: Convert to fraction form
    524.56/787.20 = 308.44/x
  3. Step 3: Cross multiply
    524.56x = 787.20 × 308.44
  4. Step 4: Simplify right side
    524.56x = 242,803.97
  5. Step 5: Solve for x
    x = 242,803.97/524.56
  6. Step 6: Final answer
    x = 462.87

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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.