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Finding the Fourth Proportional to 596.90, 894.98 and 272.54

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Solution

The fourth proportional to 596.90, 894.98 and 272.54 is: 408.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.90 : 894.98 = 272.54 : x
  2. Step 2: Convert to fraction form
    596.90/894.98 = 272.54/x
  3. Step 3: Cross multiply
    596.90x = 894.98 × 272.54
  4. Step 4: Simplify right side
    596.90x = 243,917.85
  5. Step 5: Solve for x
    x = 243,917.85/596.90
  6. Step 6: Final answer
    x = 408.64

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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.