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Finding the Fourth Proportional to 617.06, 851.54 and 337.29

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Solution

The fourth proportional to 617.06, 851.54 and 337.29 is: 465.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.06 : 851.54 = 337.29 : x
  2. Step 2: Convert to fraction form
    617.06/851.54 = 337.29/x
  3. Step 3: Cross multiply
    617.06x = 851.54 × 337.29
  4. Step 4: Simplify right side
    617.06x = 287,215.93
  5. Step 5: Solve for x
    x = 287,215.93/617.06
  6. Step 6: Final answer
    x = 465.46

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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.