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Finding the Fourth Proportional to 292.27, 438.67 and 276.66

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Solution

The fourth proportional to 292.27, 438.67 and 276.66 is: 415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.27 : 438.67 = 276.66 : x
  2. Step 2: Convert to fraction form
    292.27/438.67 = 276.66/x
  3. Step 3: Cross multiply
    292.27x = 438.67 × 276.66
  4. Step 4: Simplify right side
    292.27x = 121,362.44
  5. Step 5: Solve for x
    x = 121,362.44/292.27
  6. Step 6: Final answer
    x = 415.24

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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.