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Finding the Fourth Proportional to 696.98, 961.75 and 417.17

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Solution

The fourth proportional to 696.98, 961.75 and 417.17 is: 575.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.98 : 961.75 = 417.17 : x
  2. Step 2: Convert to fraction form
    696.98/961.75 = 417.17/x
  3. Step 3: Cross multiply
    696.98x = 961.75 × 417.17
  4. Step 4: Simplify right side
    696.98x = 401,213.25
  5. Step 5: Solve for x
    x = 401,213.25/696.98
  6. Step 6: Final answer
    x = 575.65

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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.