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Finding the Fourth Proportional to 524.94, 787.38 and 178.27

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Solution

The fourth proportional to 524.94, 787.38 and 178.27 is: 267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.94 : 787.38 = 178.27 : x
  2. Step 2: Convert to fraction form
    524.94/787.38 = 178.27/x
  3. Step 3: Cross multiply
    524.94x = 787.38 × 178.27
  4. Step 4: Simplify right side
    524.94x = 140,366.23
  5. Step 5: Solve for x
    x = 140,366.23/524.94
  6. Step 6: Final answer
    x = 267.39

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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.