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Finding the Fourth Proportional to 597.78, 897.23 and 324.09

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Solution

The fourth proportional to 597.78, 897.23 and 324.09 is: 486.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.78 : 897.23 = 324.09 : x
  2. Step 2: Convert to fraction form
    597.78/897.23 = 324.09/x
  3. Step 3: Cross multiply
    597.78x = 897.23 × 324.09
  4. Step 4: Simplify right side
    597.78x = 290,777.16
  5. Step 5: Solve for x
    x = 290,777.16/597.78
  6. Step 6: Final answer
    x = 486.43

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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.