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Finding the Fourth Proportional to 617.76, 926.64 and 293.22

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Solution

The fourth proportional to 617.76, 926.64 and 293.22 is: 439.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.76 : 926.64 = 293.22 : x
  2. Step 2: Convert to fraction form
    617.76/926.64 = 293.22/x
  3. Step 3: Cross multiply
    617.76x = 926.64 × 293.22
  4. Step 4: Simplify right side
    617.76x = 271,709.38
  5. Step 5: Solve for x
    x = 271,709.38/617.76
  6. Step 6: Final answer
    x = 439.83

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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.