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Finding the Fourth Proportional to 696.64, 961.37 and 401.90

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Solution

The fourth proportional to 696.64, 961.37 and 401.90 is: 554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.64 : 961.37 = 401.90 : x
  2. Step 2: Convert to fraction form
    696.64/961.37 = 401.90/x
  3. Step 3: Cross multiply
    696.64x = 961.37 × 401.90
  4. Step 4: Simplify right side
    696.64x = 386,374.60
  5. Step 5: Solve for x
    x = 386,374.60/696.64
  6. Step 6: Final answer
    x = 554.63

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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.