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Finding the Fourth Proportional to 412.35, 617.58 and 323.52

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Solution

The fourth proportional to 412.35, 617.58 and 323.52 is: 484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.35 : 617.58 = 323.52 : x
  2. Step 2: Convert to fraction form
    412.35/617.58 = 323.52/x
  3. Step 3: Cross multiply
    412.35x = 617.58 × 323.52
  4. Step 4: Simplify right side
    412.35x = 199,799.48
  5. Step 5: Solve for x
    x = 199,799.48/412.35
  6. Step 6: Final answer
    x = 484.54

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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.