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Finding the Fourth Proportional to 617.25, 851.77 and 337.48

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Solution

The fourth proportional to 617.25, 851.77 and 337.48 is: 465.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.25 : 851.77 = 337.48 : x
  2. Step 2: Convert to fraction form
    617.25/851.77 = 337.48/x
  3. Step 3: Cross multiply
    617.25x = 851.77 × 337.48
  4. Step 4: Simplify right side
    617.25x = 287,455.34
  5. Step 5: Solve for x
    x = 287,455.34/617.25
  6. Step 6: Final answer
    x = 465.70

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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.