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Finding the Fourth Proportional to 617.10, 851.61 and 337.33

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Solution

The fourth proportional to 617.10, 851.61 and 337.33 is: 465.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.10 : 851.61 = 337.33 : x
  2. Step 2: Convert to fraction form
    617.10/851.61 = 337.33/x
  3. Step 3: Cross multiply
    617.10x = 851.61 × 337.33
  4. Step 4: Simplify right side
    617.10x = 287,274.03
  5. Step 5: Solve for x
    x = 287,274.03/617.10
  6. Step 6: Final answer
    x = 465.52

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