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Finding the Fourth Proportional to 697.05, 961.96 and 417.23

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Solution

The fourth proportional to 697.05, 961.96 and 417.23 is: 575.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.05 : 961.96 = 417.23 : x
  2. Step 2: Convert to fraction form
    697.05/961.96 = 417.23/x
  3. Step 3: Cross multiply
    697.05x = 961.96 × 417.23
  4. Step 4: Simplify right side
    697.05x = 401,354.08
  5. Step 5: Solve for x
    x = 401,354.08/697.05
  6. Step 6: Final answer
    x = 575.79

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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.