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Finding the Fourth Proportional to 492.15, 679.16 and 271.10

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Solution

The fourth proportional to 492.15, 679.16 and 271.10 is: 374.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.15 : 679.16 = 271.10 : x
  2. Step 2: Convert to fraction form
    492.15/679.16 = 271.10/x
  3. Step 3: Cross multiply
    492.15x = 679.16 × 271.10
  4. Step 4: Simplify right side
    492.15x = 184,120.28
  5. Step 5: Solve for x
    x = 184,120.28/492.15
  6. Step 6: Final answer
    x = 374.11

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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.