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Finding the Fourth Proportional to 301.17, 450.90 and 232.82

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Solution

The fourth proportional to 301.17, 450.90 and 232.82 is: 348.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.17 : 450.90 = 232.82 : x
  2. Step 2: Convert to fraction form
    301.17/450.90 = 232.82/x
  3. Step 3: Cross multiply
    301.17x = 450.90 × 232.82
  4. Step 4: Simplify right side
    301.17x = 104,978.54
  5. Step 5: Solve for x
    x = 104,978.54/301.17
  6. Step 6: Final answer
    x = 348.57

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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.