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Finding the Fourth Proportional to 492.31, 679.24 and 381.60

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Solution

The fourth proportional to 492.31, 679.24 and 381.60 is: 526.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.31 : 679.24 = 381.60 : x
  2. Step 2: Convert to fraction form
    492.31/679.24 = 381.60/x
  3. Step 3: Cross multiply
    492.31x = 679.24 × 381.60
  4. Step 4: Simplify right side
    492.31x = 259,198.46
  5. Step 5: Solve for x
    x = 259,198.46/492.31
  6. Step 6: Final answer
    x = 526.49

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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.