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Finding the Fourth Proportional to 306.65, 458.60 and 229.67

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Solution

The fourth proportional to 306.65, 458.60 and 229.67 is: 343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.65 : 458.60 = 229.67 : x
  2. Step 2: Convert to fraction form
    306.65/458.60 = 229.67/x
  3. Step 3: Cross multiply
    306.65x = 458.60 × 229.67
  4. Step 4: Simplify right side
    306.65x = 105,324.94
  5. Step 5: Solve for x
    x = 105,324.94/306.65
  6. Step 6: Final answer
    x = 343.47

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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.