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Finding the Fourth Proportional to 306.41, 460.53 and 252.65

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Solution

The fourth proportional to 306.41, 460.53 and 252.65 is: 379.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.41 : 460.53 = 252.65 : x
  2. Step 2: Convert to fraction form
    306.41/460.53 = 252.65/x
  3. Step 3: Cross multiply
    306.41x = 460.53 × 252.65
  4. Step 4: Simplify right side
    306.41x = 116,354.06
  5. Step 5: Solve for x
    x = 116,354.06/306.41
  6. Step 6: Final answer
    x = 379.74

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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.