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Finding the Fourth Proportional to 617.30, 851.89 and 337.53

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Solution

The fourth proportional to 617.30, 851.89 and 337.53 is: 465.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.30 : 851.89 = 337.53 : x
  2. Step 2: Convert to fraction form
    617.30/851.89 = 337.53/x
  3. Step 3: Cross multiply
    617.30x = 851.89 × 337.53
  4. Step 4: Simplify right side
    617.30x = 287,542.36
  5. Step 5: Solve for x
    x = 287,542.36/617.30
  6. Step 6: Final answer
    x = 465.80

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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.