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Finding the Fourth Proportional to 597.79, 897.23 and 324.08

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Solution

The fourth proportional to 597.79, 897.23 and 324.08 is: 486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.79 : 897.23 = 324.08 : x
  2. Step 2: Convert to fraction form
    597.79/897.23 = 324.08/x
  3. Step 3: Cross multiply
    597.79x = 897.23 × 324.08
  4. Step 4: Simplify right side
    597.79x = 290,772.68
  5. Step 5: Solve for x
    x = 290,772.68/597.79
  6. Step 6: Final answer
    x = 486.42

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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.