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Finding the Fourth Proportional to 696.80, 960.46 and 475.37

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Solution

The fourth proportional to 696.80, 960.46 and 475.37 is: 655.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.80 : 960.46 = 475.37 : x
  2. Step 2: Convert to fraction form
    696.80/960.46 = 475.37/x
  3. Step 3: Cross multiply
    696.80x = 960.46 × 475.37
  4. Step 4: Simplify right side
    696.80x = 456,571.48
  5. Step 5: Solve for x
    x = 456,571.48/696.80
  6. Step 6: Final answer
    x = 655.24

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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.