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Finding the Fourth Proportional to 850.84, 1,276.26 and 234.61

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Solution

The fourth proportional to 850.84, 1,276.26 and 234.61 is: 351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.84 : 1,276.26 = 234.61 : x
  2. Step 2: Convert to fraction form
    850.84/1,276.26 = 234.61/x
  3. Step 3: Cross multiply
    850.84x = 1,276.26 × 234.61
  4. Step 4: Simplify right side
    850.84x = 299,423.36
  5. Step 5: Solve for x
    x = 299,423.36/850.84
  6. Step 6: Final answer
    x = 351.92

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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.