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Finding the Fourth Proportional to 697.26, 961.89 and 476.52

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Solution

The fourth proportional to 697.26, 961.89 and 476.52 is: 657.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.26 : 961.89 = 476.52 : x
  2. Step 2: Convert to fraction form
    697.26/961.89 = 476.52/x
  3. Step 3: Cross multiply
    697.26x = 961.89 × 476.52
  4. Step 4: Simplify right side
    697.26x = 458,359.82
  5. Step 5: Solve for x
    x = 458,359.82/697.26
  6. Step 6: Final answer
    x = 657.37

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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.