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Finding the Fourth Proportional to 465.89, 642.27 and 333.07

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Solution

The fourth proportional to 465.89, 642.27 and 333.07 is: 459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.89 : 642.27 = 333.07 : x
  2. Step 2: Convert to fraction form
    465.89/642.27 = 333.07/x
  3. Step 3: Cross multiply
    465.89x = 642.27 × 333.07
  4. Step 4: Simplify right side
    465.89x = 213,922.69
  5. Step 5: Solve for x
    x = 213,922.69/465.89
  6. Step 6: Final answer
    x = 459.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.