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Finding the Fourth Proportional to 696.24, 960.42 and 447.59

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Solution

The fourth proportional to 696.24, 960.42 and 447.59 is: 617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.24 : 960.42 = 447.59 : x
  2. Step 2: Convert to fraction form
    696.24/960.42 = 447.59/x
  3. Step 3: Cross multiply
    696.24x = 960.42 × 447.59
  4. Step 4: Simplify right side
    696.24x = 429,874.39
  5. Step 5: Solve for x
    x = 429,874.39/696.24
  6. Step 6: Final answer
    x = 617.42

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1.5x scale

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.