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Finding the Fourth Proportional to 617.67, 926.82 and 293.04

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Solution

The fourth proportional to 617.67, 926.82 and 293.04 is: 439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.67 : 926.82 = 293.04 : x
  2. Step 2: Convert to fraction form
    617.67/926.82 = 293.04/x
  3. Step 3: Cross multiply
    617.67x = 926.82 × 293.04
  4. Step 4: Simplify right side
    617.67x = 271,595.33
  5. Step 5: Solve for x
    x = 271,595.33/617.67
  6. Step 6: Final answer
    x = 439.71

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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.