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Finding the Fourth Proportional to 696.07, 960.59 and 416.43

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Solution

The fourth proportional to 696.07, 960.59 and 416.43 is: 574.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.07 : 960.59 = 416.43 : x
  2. Step 2: Convert to fraction form
    696.07/960.59 = 416.43/x
  3. Step 3: Cross multiply
    696.07x = 960.59 × 416.43
  4. Step 4: Simplify right side
    696.07x = 400,018.49
  5. Step 5: Solve for x
    x = 400,018.49/696.07
  6. Step 6: Final answer
    x = 574.68

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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.