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Finding the Fourth Proportional to 524.72, 787.08 and 178.04

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Solution

The fourth proportional to 524.72, 787.08 and 178.04 is: 267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.72 : 787.08 = 178.04 : x
  2. Step 2: Convert to fraction form
    524.72/787.08 = 178.04/x
  3. Step 3: Cross multiply
    524.72x = 787.08 × 178.04
  4. Step 4: Simplify right side
    524.72x = 140,131.72
  5. Step 5: Solve for x
    x = 140,131.72/524.72
  6. Step 6: Final answer
    x = 267.06

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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.