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Finding the Fourth Proportional to 598.37, 897.41 and 324.09

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Solution

The fourth proportional to 598.37, 897.41 and 324.09 is: 486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.37 : 897.41 = 324.09 : x
  2. Step 2: Convert to fraction form
    598.37/897.41 = 324.09/x
  3. Step 3: Cross multiply
    598.37x = 897.41 × 324.09
  4. Step 4: Simplify right side
    598.37x = 290,839.99
  5. Step 5: Solve for x
    x = 290,839.99/598.37
  6. Step 6: Final answer
    x = 486.06

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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.