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Finding the Fourth Proportional to 312.60, 468.09 and 276.42

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Solution

The fourth proportional to 312.60, 468.09 and 276.42 is: 413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.60 : 468.09 = 276.42 : x
  2. Step 2: Convert to fraction form
    312.60/468.09 = 276.42/x
  3. Step 3: Cross multiply
    312.60x = 468.09 × 276.42
  4. Step 4: Simplify right side
    312.60x = 129,389.44
  5. Step 5: Solve for x
    x = 129,389.44/312.60
  6. Step 6: Final answer
    x = 413.91

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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.