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Finding the Fourth Proportional to 696.20, 960.60 and 416.53

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Solution

The fourth proportional to 696.20, 960.60 and 416.53 is: 574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.20 : 960.60 = 416.53 : x
  2. Step 2: Convert to fraction form
    696.20/960.60 = 416.53/x
  3. Step 3: Cross multiply
    696.20x = 960.60 × 416.53
  4. Step 4: Simplify right side
    696.20x = 400,118.72
  5. Step 5: Solve for x
    x = 400,118.72/696.20
  6. Step 6: Final answer
    x = 574.72

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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.