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Finding the Fourth Proportional to 524.87, 787.41 and 178.19

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Solution

The fourth proportional to 524.87, 787.41 and 178.19 is: 267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.87 : 787.41 = 178.19 : x
  2. Step 2: Convert to fraction form
    524.87/787.41 = 178.19/x
  3. Step 3: Cross multiply
    524.87x = 787.41 × 178.19
  4. Step 4: Simplify right side
    524.87x = 140,308.59
  5. Step 5: Solve for x
    x = 140,308.59/524.87
  6. Step 6: Final answer
    x = 267.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.