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Finding the Fourth Proportional to 492.45, 679.59 and 271.42

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Solution

The fourth proportional to 492.45, 679.59 and 271.42 is: 374.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.45 : 679.59 = 271.42 : x
  2. Step 2: Convert to fraction form
    492.45/679.59 = 271.42/x
  3. Step 3: Cross multiply
    492.45x = 679.59 × 271.42
  4. Step 4: Simplify right side
    492.45x = 184,454.32
  5. Step 5: Solve for x
    x = 184,454.32/492.45
  6. Step 6: Final answer
    x = 374.56

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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.