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Finding the Fourth Proportional to 617.09, 851.57 and 337.32

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Solution

The fourth proportional to 617.09, 851.57 and 337.32 is: 465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.09 : 851.57 = 337.32 : x
  2. Step 2: Convert to fraction form
    617.09/851.57 = 337.32/x
  3. Step 3: Cross multiply
    617.09x = 851.57 × 337.32
  4. Step 4: Simplify right side
    617.09x = 287,251.59
  5. Step 5: Solve for x
    x = 287,251.59/617.09
  6. Step 6: Final answer
    x = 465.49

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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.