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Finding the Fourth Proportional to 301.50, 451.65 and 271.62

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Solution

The fourth proportional to 301.50, 451.65 and 271.62 is: 406.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.50 : 451.65 = 271.62 : x
  2. Step 2: Convert to fraction form
    301.50/451.65 = 271.62/x
  3. Step 3: Cross multiply
    301.50x = 451.65 × 271.62
  4. Step 4: Simplify right side
    301.50x = 122,677.17
  5. Step 5: Solve for x
    x = 122,677.17/301.50
  6. Step 6: Final answer
    x = 406.89

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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.