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Finding the Fourth Proportional to 596.36, 894.10 and 249.20

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Solution

The fourth proportional to 596.36, 894.10 and 249.20 is: 373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.36 : 894.10 = 249.20 : x
  2. Step 2: Convert to fraction form
    596.36/894.10 = 249.20/x
  3. Step 3: Cross multiply
    596.36x = 894.10 × 249.20
  4. Step 4: Simplify right side
    596.36x = 222,809.72
  5. Step 5: Solve for x
    x = 222,809.72/596.36
  6. Step 6: Final answer
    x = 373.62

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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.