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Finding the Fourth Proportional to 617.84, 926.76 and 206.94

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Solution

The fourth proportional to 617.84, 926.76 and 206.94 is: 310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.84 : 926.76 = 206.94 : x
  2. Step 2: Convert to fraction form
    617.84/926.76 = 206.94/x
  3. Step 3: Cross multiply
    617.84x = 926.76 × 206.94
  4. Step 4: Simplify right side
    617.84x = 191,787.97
  5. Step 5: Solve for x
    x = 191,787.97/617.84
  6. Step 6: Final answer
    x = 310.42

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