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Finding the Fourth Proportional to 850.25, 1,274.89 and 294.69

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Solution

The fourth proportional to 850.25, 1,274.89 and 294.69 is: 441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.25 : 1,274.89 = 294.69 : x
  2. Step 2: Convert to fraction form
    850.25/1,274.89 = 294.69/x
  3. Step 3: Cross multiply
    850.25x = 1,274.89 × 294.69
  4. Step 4: Simplify right side
    850.25x = 375,702.21
  5. Step 5: Solve for x
    x = 375,702.21/850.25
  6. Step 6: Final answer
    x = 441.87

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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.