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Finding the Fourth Proportional to 696.50, 961.44 and 464.30

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Solution

The fourth proportional to 696.50, 961.44 and 464.30 is: 640.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.50 : 961.44 = 464.30 : x
  2. Step 2: Convert to fraction form
    696.50/961.44 = 464.30/x
  3. Step 3: Cross multiply
    696.50x = 961.44 × 464.30
  4. Step 4: Simplify right side
    696.50x = 446,396.59
  5. Step 5: Solve for x
    x = 446,396.59/696.50
  6. Step 6: Final answer
    x = 640.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.