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Finding the Fourth Proportional to 617.70, 926.38 and 422.66

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Solution

The fourth proportional to 617.70, 926.38 and 422.66 is: 633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.70 : 926.38 = 422.66 : x
  2. Step 2: Convert to fraction form
    617.70/926.38 = 422.66/x
  3. Step 3: Cross multiply
    617.70x = 926.38 × 422.66
  4. Step 4: Simplify right side
    617.70x = 391,543.77
  5. Step 5: Solve for x
    x = 391,543.77/617.70
  6. Step 6: Final answer
    x = 633.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.