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Finding the Fourth Proportional to 598.20, 897.88 and 381.92

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Solution

The fourth proportional to 598.20, 897.88 and 381.92 is: 573.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.20 : 897.88 = 381.92 : x
  2. Step 2: Convert to fraction form
    598.20/897.88 = 381.92/x
  3. Step 3: Cross multiply
    598.20x = 897.88 × 381.92
  4. Step 4: Simplify right side
    598.20x = 342,918.33
  5. Step 5: Solve for x
    x = 342,918.33/598.20
  6. Step 6: Final answer
    x = 573.25

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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.