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Finding the Fourth Proportional to 596.09, 894.47 and 249.36

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Solution

The fourth proportional to 596.09, 894.47 and 249.36 is: 374.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.09 : 894.47 = 249.36 : x
  2. Step 2: Convert to fraction form
    596.09/894.47 = 249.36/x
  3. Step 3: Cross multiply
    596.09x = 894.47 × 249.36
  4. Step 4: Simplify right side
    596.09x = 223,045.04
  5. Step 5: Solve for x
    x = 223,045.04/596.09
  6. Step 6: Final answer
    x = 374.18

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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.