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Finding the Fourth Proportional to 696.03, 960.27 and 447.47

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Solution

The fourth proportional to 696.03, 960.27 and 447.47 is: 617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.03 : 960.27 = 447.47 : x
  2. Step 2: Convert to fraction form
    696.03/960.27 = 447.47/x
  3. Step 3: Cross multiply
    696.03x = 960.27 × 447.47
  4. Step 4: Simplify right side
    696.03x = 429,687.22
  5. Step 5: Solve for x
    x = 429,687.22/696.03
  6. Step 6: Final answer
    x = 617.34

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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.