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Finding the Fourth Proportional to 492.78, 680.04 and 382.41

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Solution

The fourth proportional to 492.78, 680.04 and 382.41 is: 527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.78 : 680.04 = 382.41 : x
  2. Step 2: Convert to fraction form
    492.78/680.04 = 382.41/x
  3. Step 3: Cross multiply
    492.78x = 680.04 × 382.41
  4. Step 4: Simplify right side
    492.78x = 260,054.10
  5. Step 5: Solve for x
    x = 260,054.10/492.78
  6. Step 6: Final answer
    x = 527.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.