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Finding the Fourth Proportional to 697.08, 961.82 and 417.27

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Solution

The fourth proportional to 697.08, 961.82 and 417.27 is: 575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.08 : 961.82 = 417.27 : x
  2. Step 2: Convert to fraction form
    697.08/961.82 = 417.27/x
  3. Step 3: Cross multiply
    697.08x = 961.82 × 417.27
  4. Step 4: Simplify right side
    697.08x = 401,336.55
  5. Step 5: Solve for x
    x = 401,336.55/697.08
  6. Step 6: Final answer
    x = 575.74

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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.