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Finding the Fourth Proportional to 696.53, 961.25 and 416.81

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Solution

The fourth proportional to 696.53, 961.25 and 416.81 is: 575.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.53 : 961.25 = 416.81 : x
  2. Step 2: Convert to fraction form
    696.53/961.25 = 416.81/x
  3. Step 3: Cross multiply
    696.53x = 961.25 × 416.81
  4. Step 4: Simplify right side
    696.53x = 400,658.93
  5. Step 5: Solve for x
    x = 400,658.93/696.53
  6. Step 6: Final answer
    x = 575.22

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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.