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Finding the Fourth Proportional to 287.93, 431.21 and 273.58

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Solution

The fourth proportional to 287.93, 431.21 and 273.58 is: 409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.93 : 431.21 = 273.58 : x
  2. Step 2: Convert to fraction form
    287.93/431.21 = 273.58/x
  3. Step 3: Cross multiply
    287.93x = 431.21 × 273.58
  4. Step 4: Simplify right side
    287.93x = 117,970.04
  5. Step 5: Solve for x
    x = 117,970.04/287.93
  6. Step 6: Final answer
    x = 409.71

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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.