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Finding the Fourth Proportional to 616.26, 850.92 and 430.22

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Solution

The fourth proportional to 616.26, 850.92 and 430.22 is: 594.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.26 : 850.92 = 430.22 : x
  2. Step 2: Convert to fraction form
    616.26/850.92 = 430.22/x
  3. Step 3: Cross multiply
    616.26x = 850.92 × 430.22
  4. Step 4: Simplify right side
    616.26x = 366,082.80
  5. Step 5: Solve for x
    x = 366,082.80/616.26
  6. Step 6: Final answer
    x = 594.04

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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.