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Finding the Fourth Proportional to 492.19, 679.21 and 271.14

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Solution

The fourth proportional to 492.19, 679.21 and 271.14 is: 374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.19 : 679.21 = 271.14 : x
  2. Step 2: Convert to fraction form
    492.19/679.21 = 271.14/x
  3. Step 3: Cross multiply
    492.19x = 679.21 × 271.14
  4. Step 4: Simplify right side
    492.19x = 184,157.77
  5. Step 5: Solve for x
    x = 184,157.77/492.19
  6. Step 6: Final answer
    x = 374.16

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