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Finding the Fourth Proportional to 697.40, 961.96 and 464.52

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Solution

The fourth proportional to 697.40, 961.96 and 464.52 is: 640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.40 : 961.96 = 464.52 : x
  2. Step 2: Convert to fraction form
    697.40/961.96 = 464.52/x
  3. Step 3: Cross multiply
    697.40x = 961.96 × 464.52
  4. Step 4: Simplify right side
    697.40x = 446,849.66
  5. Step 5: Solve for x
    x = 446,849.66/697.40
  6. Step 6: Final answer
    x = 640.74

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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.