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Finding the Fourth Proportional to 617.82, 851.12 and 430.97

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Solution

The fourth proportional to 617.82, 851.12 and 430.97 is: 593.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.82 : 851.12 = 430.97 : x
  2. Step 2: Convert to fraction form
    617.82/851.12 = 430.97/x
  3. Step 3: Cross multiply
    617.82x = 851.12 × 430.97
  4. Step 4: Simplify right side
    617.82x = 366,802.93
  5. Step 5: Solve for x
    x = 366,802.93/617.82
  6. Step 6: Final answer
    x = 593.71

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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.