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Finding the Fourth Proportional to 306.74, 460.35 and 233.84

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Solution

The fourth proportional to 306.74, 460.35 and 233.84 is: 350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.74 : 460.35 = 233.84 : x
  2. Step 2: Convert to fraction form
    306.74/460.35 = 233.84/x
  3. Step 3: Cross multiply
    306.74x = 460.35 × 233.84
  4. Step 4: Simplify right side
    306.74x = 107,645.94
  5. Step 5: Solve for x
    x = 107,645.94/306.74
  6. Step 6: Final answer
    x = 350.94

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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.