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Finding the Fourth Proportional to 600.27, 898.02 and 477.25

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Solution

The fourth proportional to 600.27, 898.02 and 477.25 is: 713.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.27 : 898.02 = 477.25 : x
  2. Step 2: Convert to fraction form
    600.27/898.02 = 477.25/x
  3. Step 3: Cross multiply
    600.27x = 898.02 × 477.25
  4. Step 4: Simplify right side
    600.27x = 428,580.05
  5. Step 5: Solve for x
    x = 428,580.05/600.27
  6. Step 6: Final answer
    x = 713.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.