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Finding the Fourth Proportional to 301.25, 449.07 and 289.42

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Solution

The fourth proportional to 301.25, 449.07 and 289.42 is: 431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.25 : 449.07 = 289.42 : x
  2. Step 2: Convert to fraction form
    301.25/449.07 = 289.42/x
  3. Step 3: Cross multiply
    301.25x = 449.07 × 289.42
  4. Step 4: Simplify right side
    301.25x = 129,967.63
  5. Step 5: Solve for x
    x = 129,967.63/301.25
  6. Step 6: Final answer
    x = 431.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.