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Finding the Fourth Proportional to 342.89, 473.25 and 211.91

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Solution

The fourth proportional to 342.89, 473.25 and 211.91 is: 292.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.89 : 473.25 = 211.91 : x
  2. Step 2: Convert to fraction form
    342.89/473.25 = 211.91/x
  3. Step 3: Cross multiply
    342.89x = 473.25 × 211.91
  4. Step 4: Simplify right side
    342.89x = 100,286.41
  5. Step 5: Solve for x
    x = 100,286.41/342.89
  6. Step 6: Final answer
    x = 292.47

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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.