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Finding the Fourth Proportional to 450.31, 674.65 and 233.63

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Solution

The fourth proportional to 450.31, 674.65 and 233.63 is: 350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.31 : 674.65 = 233.63 : x
  2. Step 2: Convert to fraction form
    450.31/674.65 = 233.63/x
  3. Step 3: Cross multiply
    450.31x = 674.65 × 233.63
  4. Step 4: Simplify right side
    450.31x = 157,619.58
  5. Step 5: Solve for x
    x = 157,619.58/450.31
  6. Step 6: Final answer
    x = 350.03

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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.