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Finding the Fourth Proportional to 617.40, 851.97 and 337.62

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Solution

The fourth proportional to 617.40, 851.97 and 337.62 is: 465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.40 : 851.97 = 337.62 : x
  2. Step 2: Convert to fraction form
    617.40/851.97 = 337.62/x
  3. Step 3: Cross multiply
    617.40x = 851.97 × 337.62
  4. Step 4: Simplify right side
    617.40x = 287,642.11
  5. Step 5: Solve for x
    x = 287,642.11/617.40
  6. Step 6: Final answer
    x = 465.89

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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.