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Finding the Fourth Proportional to 696.87, 961.57 and 417.07

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Solution

The fourth proportional to 696.87, 961.57 and 417.07 is: 575.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.87 : 961.57 = 417.07 : x
  2. Step 2: Convert to fraction form
    696.87/961.57 = 417.07/x
  3. Step 3: Cross multiply
    696.87x = 961.57 × 417.07
  4. Step 4: Simplify right side
    696.87x = 401,040.12
  5. Step 5: Solve for x
    x = 401,040.12/696.87
  6. Step 6: Final answer
    x = 575.49

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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.