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Finding the Fourth Proportional to 617.67, 926.52 and 293.07

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Solution

The fourth proportional to 617.67, 926.52 and 293.07 is: 439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.67 : 926.52 = 293.07 : x
  2. Step 2: Convert to fraction form
    617.67/926.52 = 293.07/x
  3. Step 3: Cross multiply
    617.67x = 926.52 × 293.07
  4. Step 4: Simplify right side
    617.67x = 271,535.22
  5. Step 5: Solve for x
    x = 271,535.22/617.67
  6. Step 6: Final answer
    x = 439.61

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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.