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Finding the Fourth Proportional to 596.45, 894.44 and 353.04

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Solution

The fourth proportional to 596.45, 894.44 and 353.04 is: 529.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.45 : 894.44 = 353.04 : x
  2. Step 2: Convert to fraction form
    596.45/894.44 = 353.04/x
  3. Step 3: Cross multiply
    596.45x = 894.44 × 353.04
  4. Step 4: Simplify right side
    596.45x = 315,773.98
  5. Step 5: Solve for x
    x = 315,773.98/596.45
  6. Step 6: Final answer
    x = 529.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.