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Finding the Fourth Proportional to 412.42, 617.82 and 273.50

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Solution

The fourth proportional to 412.42, 617.82 and 273.50 is: 409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.42 : 617.82 = 273.50 : x
  2. Step 2: Convert to fraction form
    412.42/617.82 = 273.50/x
  3. Step 3: Cross multiply
    412.42x = 617.82 × 273.50
  4. Step 4: Simplify right side
    412.42x = 168,974.29
  5. Step 5: Solve for x
    x = 168,974.29/412.42
  6. Step 6: Final answer
    x = 409.72

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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.