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Finding the Fourth Proportional to 697.40, 961.32 and 464.12

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Solution

The fourth proportional to 697.40, 961.32 and 464.12 is: 639.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.40 : 961.32 = 464.12 : x
  2. Step 2: Convert to fraction form
    697.40/961.32 = 464.12/x
  3. Step 3: Cross multiply
    697.40x = 961.32 × 464.12
  4. Step 4: Simplify right side
    697.40x = 446,167.84
  5. Step 5: Solve for x
    x = 446,167.84/697.40
  6. Step 6: Final answer
    x = 639.76

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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.