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Finding the Fourth Proportional to 289.91, 397.07 and 273.08

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Solution

The fourth proportional to 289.91, 397.07 and 273.08 is: 374.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.91 : 397.07 = 273.08 : x
  2. Step 2: Convert to fraction form
    289.91/397.07 = 273.08/x
  3. Step 3: Cross multiply
    289.91x = 397.07 × 273.08
  4. Step 4: Simplify right side
    289.91x = 108,428.52
  5. Step 5: Solve for x
    x = 108,428.52/289.91
  6. Step 6: Final answer
    x = 374.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.