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Finding the Fourth Proportional to 598.44, 897.84 and 495.27

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Solution

The fourth proportional to 598.44, 897.84 and 495.27 is: 743.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.44 : 897.84 = 495.27 : x
  2. Step 2: Convert to fraction form
    598.44/897.84 = 495.27/x
  3. Step 3: Cross multiply
    598.44x = 897.84 × 495.27
  4. Step 4: Simplify right side
    598.44x = 444,673.22
  5. Step 5: Solve for x
    x = 444,673.22/598.44
  6. Step 6: Final answer
    x = 743.05

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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.