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Finding the Fourth Proportional to 617.46, 926.71 and 271.08

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Solution

The fourth proportional to 617.46, 926.71 and 271.08 is: 406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.46 : 926.71 = 271.08 : x
  2. Step 2: Convert to fraction form
    617.46/926.71 = 271.08/x
  3. Step 3: Cross multiply
    617.46x = 926.71 × 271.08
  4. Step 4: Simplify right side
    617.46x = 251,211.87
  5. Step 5: Solve for x
    x = 251,211.87/617.46
  6. Step 6: Final answer
    x = 406.85

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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.