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Finding the Fourth Proportional to 292.43, 438.33 and 211.23

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Solution

The fourth proportional to 292.43, 438.33 and 211.23 is: 316.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.43 : 438.33 = 211.23 : x
  2. Step 2: Convert to fraction form
    292.43/438.33 = 211.23/x
  3. Step 3: Cross multiply
    292.43x = 438.33 × 211.23
  4. Step 4: Simplify right side
    292.43x = 92,588.45
  5. Step 5: Solve for x
    x = 92,588.45/292.43
  6. Step 6: Final answer
    x = 316.62

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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.