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Finding the Fourth Proportional to 671.90, 926.87 and 422.75

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Solution

The fourth proportional to 671.90, 926.87 and 422.75 is: 583.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.90 : 926.87 = 422.75 : x
  2. Step 2: Convert to fraction form
    671.90/926.87 = 422.75/x
  3. Step 3: Cross multiply
    671.90x = 926.87 × 422.75
  4. Step 4: Simplify right side
    671.90x = 391,830.92
  5. Step 5: Solve for x
    x = 391,830.92/671.90
  6. Step 6: Final answer
    x = 583.17

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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.