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Finding the Fourth Proportional to 492.78, 739.37 and 385.46

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Solution

The fourth proportional to 492.78, 739.37 and 385.46 is: 578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.78 : 739.37 = 385.46 : x
  2. Step 2: Convert to fraction form
    492.78/739.37 = 385.46/x
  3. Step 3: Cross multiply
    492.78x = 739.37 × 385.46
  4. Step 4: Simplify right side
    492.78x = 284,997.56
  5. Step 5: Solve for x
    x = 284,997.56/492.78
  6. Step 6: Final answer
    x = 578.35

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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.