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Finding the Fourth Proportional to 696.97, 961.79 and 417.05

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Solution

The fourth proportional to 696.97, 961.79 and 417.05 is: 575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.97 : 961.79 = 417.05 : x
  2. Step 2: Convert to fraction form
    696.97/961.79 = 417.05/x
  3. Step 3: Cross multiply
    696.97x = 961.79 × 417.05
  4. Step 4: Simplify right side
    696.97x = 401,109.71
  5. Step 5: Solve for x
    x = 401,109.71/696.97
  6. Step 6: Final answer
    x = 575.50

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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.