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Finding the Fourth Proportional to 617.82, 926.19 and 343.68

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Solution

The fourth proportional to 617.82, 926.19 and 343.68 is: 515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.82 : 926.19 = 343.68 : x
  2. Step 2: Convert to fraction form
    617.82/926.19 = 343.68/x
  3. Step 3: Cross multiply
    617.82x = 926.19 × 343.68
  4. Step 4: Simplify right side
    617.82x = 318,312.98
  5. Step 5: Solve for x
    x = 318,312.98/617.82
  6. Step 6: Final answer
    x = 515.22

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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.