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Finding the Fourth Proportional to 412.52, 617.44 and 398.24

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Solution

The fourth proportional to 412.52, 617.44 and 398.24 is: 596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.52 : 617.44 = 398.24 : x
  2. Step 2: Convert to fraction form
    412.52/617.44 = 398.24/x
  3. Step 3: Cross multiply
    412.52x = 617.44 × 398.24
  4. Step 4: Simplify right side
    412.52x = 245,889.31
  5. Step 5: Solve for x
    x = 245,889.31/412.52
  6. Step 6: Final answer
    x = 596.07

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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.