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Finding the Fourth Proportional to 640.85, 961.56 and 294.12

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Solution

The fourth proportional to 640.85, 961.56 and 294.12 is: 441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    640.85 : 961.56 = 294.12 : x
  2. Step 2: Convert to fraction form
    640.85/961.56 = 294.12/x
  3. Step 3: Cross multiply
    640.85x = 961.56 × 294.12
  4. Step 4: Simplify right side
    640.85x = 282,814.03
  5. Step 5: Solve for x
    x = 282,814.03/640.85
  6. Step 6: Final answer
    x = 441.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.