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Finding the Fourth Proportional to 306.48, 423.05 and 227.91

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Solution

The fourth proportional to 306.48, 423.05 and 227.91 is: 314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.48 : 423.05 = 227.91 : x
  2. Step 2: Convert to fraction form
    306.48/423.05 = 227.91/x
  3. Step 3: Cross multiply
    306.48x = 423.05 × 227.91
  4. Step 4: Simplify right side
    306.48x = 96,416.19
  5. Step 5: Solve for x
    x = 96,416.19/306.48
  6. Step 6: Final answer
    x = 314.59

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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.