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Finding the Fourth Proportional to 617.49, 925.38 and 324.41

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Solution

The fourth proportional to 617.49, 925.38 and 324.41 is: 486.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.49 : 925.38 = 324.41 : x
  2. Step 2: Convert to fraction form
    617.49/925.38 = 324.41/x
  3. Step 3: Cross multiply
    617.49x = 925.38 × 324.41
  4. Step 4: Simplify right side
    617.49x = 300,197.90
  5. Step 5: Solve for x
    x = 300,197.90/617.49
  6. Step 6: Final answer
    x = 486.16

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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.