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Finding the Fourth Proportional to 696.24, 960.96 and 475.71

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Solution

The fourth proportional to 696.24, 960.96 and 475.71 is: 656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.24 : 960.96 = 475.71 : x
  2. Step 2: Convert to fraction form
    696.24/960.96 = 475.71/x
  3. Step 3: Cross multiply
    696.24x = 960.96 × 475.71
  4. Step 4: Simplify right side
    696.24x = 457,138.28
  5. Step 5: Solve for x
    x = 457,138.28/696.24
  6. Step 6: Final answer
    x = 656.58

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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.