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Finding the Fourth Proportional to 596.27, 822.49 and 430.85

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Solution

The fourth proportional to 596.27, 822.49 and 430.85 is: 594.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.27 : 822.49 = 430.85 : x
  2. Step 2: Convert to fraction form
    596.27/822.49 = 430.85/x
  3. Step 3: Cross multiply
    596.27x = 822.49 × 430.85
  4. Step 4: Simplify right side
    596.27x = 354,364.63
  5. Step 5: Solve for x
    x = 354,364.63/596.27
  6. Step 6: Final answer
    x = 594.31

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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.