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Finding the Fourth Proportional to 312.96, 468.90 and 271.92

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Solution

The fourth proportional to 312.96, 468.90 and 271.92 is: 407.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.96 : 468.90 = 271.92 : x
  2. Step 2: Convert to fraction form
    312.96/468.90 = 271.92/x
  3. Step 3: Cross multiply
    312.96x = 468.90 × 271.92
  4. Step 4: Simplify right side
    312.96x = 127,503.29
  5. Step 5: Solve for x
    x = 127,503.29/312.96
  6. Step 6: Final answer
    x = 407.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.