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Finding the Fourth Proportional to 598.37, 896.95 and 251.78

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Solution

The fourth proportional to 598.37, 896.95 and 251.78 is: 377.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.37 : 896.95 = 251.78 : x
  2. Step 2: Convert to fraction form
    598.37/896.95 = 251.78/x
  3. Step 3: Cross multiply
    598.37x = 896.95 × 251.78
  4. Step 4: Simplify right side
    598.37x = 225,835.68
  5. Step 5: Solve for x
    x = 225,835.68/598.37
  6. Step 6: Final answer
    x = 377.42

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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.