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Finding the Fourth Proportional to 306.30, 458.62 and 252.84

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Solution

The fourth proportional to 306.30, 458.62 and 252.84 is: 378.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.30 : 458.62 = 252.84 : x
  2. Step 2: Convert to fraction form
    306.30/458.62 = 252.84/x
  3. Step 3: Cross multiply
    306.30x = 458.62 × 252.84
  4. Step 4: Simplify right side
    306.30x = 115,957.48
  5. Step 5: Solve for x
    x = 115,957.48/306.30
  6. Step 6: Final answer
    x = 378.57

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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.