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Finding the Fourth Proportional to 617.62, 852.25 and 337.84

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Solution

The fourth proportional to 617.62, 852.25 and 337.84 is: 466.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.62 : 852.25 = 337.84 : x
  2. Step 2: Convert to fraction form
    617.62/852.25 = 337.84/x
  3. Step 3: Cross multiply
    617.62x = 852.25 × 337.84
  4. Step 4: Simplify right side
    617.62x = 287,922.43
  5. Step 5: Solve for x
    x = 287,922.43/617.62
  6. Step 6: Final answer
    x = 466.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.