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Finding the Fourth Proportional to 273.44, 412.16 and 256.48

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Solution

The fourth proportional to 273.44, 412.16 and 256.48 is: 386.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.44 : 412.16 = 256.48 : x
  2. Step 2: Convert to fraction form
    273.44/412.16 = 256.48/x
  3. Step 3: Cross multiply
    273.44x = 412.16 × 256.48
  4. Step 4: Simplify right side
    273.44x = 105,710.80
  5. Step 5: Solve for x
    x = 105,710.80/273.44
  6. Step 6: Final answer
    x = 386.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.