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Finding the Fourth Proportional to 617.02, 851.48 and 337.25

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Solution

The fourth proportional to 617.02, 851.48 and 337.25 is: 465.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.02 : 851.48 = 337.25 : x
  2. Step 2: Convert to fraction form
    617.02/851.48 = 337.25/x
  3. Step 3: Cross multiply
    617.02x = 851.48 × 337.25
  4. Step 4: Simplify right side
    617.02x = 287,163.34
  5. Step 5: Solve for x
    x = 287,163.34/617.02
  6. Step 6: Final answer
    x = 465.41

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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.