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Finding the Fourth Proportional to 671.62, 926.97 and 438.82

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Solution

The fourth proportional to 671.62, 926.97 and 438.82 is: 605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.62 : 926.97 = 438.82 : x
  2. Step 2: Convert to fraction form
    671.62/926.97 = 438.82/x
  3. Step 3: Cross multiply
    671.62x = 926.97 × 438.82
  4. Step 4: Simplify right side
    671.62x = 406,772.98
  5. Step 5: Solve for x
    x = 406,772.98/671.62
  6. Step 6: Final answer
    x = 605.66

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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.