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Finding the Fourth Proportional to 697.23, 961.85 and 460.85

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Solution

The fourth proportional to 697.23, 961.85 and 460.85 is: 635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.23 : 961.85 = 460.85 : x
  2. Step 2: Convert to fraction form
    697.23/961.85 = 460.85/x
  3. Step 3: Cross multiply
    697.23x = 961.85 × 460.85
  4. Step 4: Simplify right side
    697.23x = 443,261.46
  5. Step 5: Solve for x
    x = 443,261.46/697.23
  6. Step 6: Final answer
    x = 635.75

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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.