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Finding the Fourth Proportional to 596.24, 893.76 and 254.48

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Solution

The fourth proportional to 596.24, 893.76 and 254.48 is: 381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.24 : 893.76 = 254.48 : x
  2. Step 2: Convert to fraction form
    596.24/893.76 = 254.48/x
  3. Step 3: Cross multiply
    596.24x = 893.76 × 254.48
  4. Step 4: Simplify right side
    596.24x = 227,444.04
  5. Step 5: Solve for x
    x = 227,444.04/596.24
  6. Step 6: Final answer
    x = 381.46

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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.