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Finding the Fourth Proportional to 275.64, 412.92 and 273.84

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Solution

The fourth proportional to 275.64, 412.92 and 273.84 is: 410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.64 : 412.92 = 273.84 : x
  2. Step 2: Convert to fraction form
    275.64/412.92 = 273.84/x
  3. Step 3: Cross multiply
    275.64x = 412.92 × 273.84
  4. Step 4: Simplify right side
    275.64x = 113,074.01
  5. Step 5: Solve for x
    x = 113,074.01/275.64
  6. Step 6: Final answer
    x = 410.22

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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.