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Finding the Fourth Proportional to 598.37, 897.23 and 403.37

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Solution

The fourth proportional to 598.37, 897.23 and 403.37 is: 604.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.37 : 897.23 = 403.37 : x
  2. Step 2: Convert to fraction form
    598.37/897.23 = 403.37/x
  3. Step 3: Cross multiply
    598.37x = 897.23 × 403.37
  4. Step 4: Simplify right side
    598.37x = 361,912.19
  5. Step 5: Solve for x
    x = 361,912.19/598.37
  6. Step 6: Final answer
    x = 604.83

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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.