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Finding the Fourth Proportional to 465.50, 699.41 and 301.07

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Solution

The fourth proportional to 465.50, 699.41 and 301.07 is: 452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.50 : 699.41 = 301.07 : x
  2. Step 2: Convert to fraction form
    465.50/699.41 = 301.07/x
  3. Step 3: Cross multiply
    465.50x = 699.41 × 301.07
  4. Step 4: Simplify right side
    465.50x = 210,571.37
  5. Step 5: Solve for x
    x = 210,571.37/465.50
  6. Step 6: Final answer
    x = 452.36

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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.