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Finding the Fourth Proportional to 465.99, 642.70 and 300.22

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Solution

The fourth proportional to 465.99, 642.70 and 300.22 is: 414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.99 : 642.70 = 300.22 : x
  2. Step 2: Convert to fraction form
    465.99/642.70 = 300.22/x
  3. Step 3: Cross multiply
    465.99x = 642.70 × 300.22
  4. Step 4: Simplify right side
    465.99x = 192,951.39
  5. Step 5: Solve for x
    x = 192,951.39/465.99
  6. Step 6: Final answer
    x = 414.07

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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.