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Finding the Fourth Proportional to 306.56, 462.21 and 285.68

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Solution

The fourth proportional to 306.56, 462.21 and 285.68 is: 430.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.56 : 462.21 = 285.68 : x
  2. Step 2: Convert to fraction form
    306.56/462.21 = 285.68/x
  3. Step 3: Cross multiply
    306.56x = 462.21 × 285.68
  4. Step 4: Simplify right side
    306.56x = 132,044.15
  5. Step 5: Solve for x
    x = 132,044.15/306.56
  6. Step 6: Final answer
    x = 430.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.