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Finding the Fourth Proportional to 616.82, 850.97 and 430.25

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Solution

The fourth proportional to 616.82, 850.97 and 430.25 is: 593.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.82 : 850.97 = 430.25 : x
  2. Step 2: Convert to fraction form
    616.82/850.97 = 430.25/x
  3. Step 3: Cross multiply
    616.82x = 850.97 × 430.25
  4. Step 4: Simplify right side
    616.82x = 366,126.66
  5. Step 5: Solve for x
    x = 366,126.66/616.82
  6. Step 6: Final answer
    x = 593.58

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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.