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Finding the Fourth Proportional to 617.42, 926.22 and 293.06

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Solution

The fourth proportional to 617.42, 926.22 and 293.06 is: 439.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.42 : 926.22 = 293.06 : x
  2. Step 2: Convert to fraction form
    617.42/926.22 = 293.06/x
  3. Step 3: Cross multiply
    617.42x = 926.22 × 293.06
  4. Step 4: Simplify right side
    617.42x = 271,438.03
  5. Step 5: Solve for x
    x = 271,438.03/617.42
  6. Step 6: Final answer
    x = 439.63

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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.