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Finding the Fourth Proportional to 465.14, 641.71 and 299.33

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Solution

The fourth proportional to 465.14, 641.71 and 299.33 is: 412.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.14 : 641.71 = 299.33 : x
  2. Step 2: Convert to fraction form
    465.14/641.71 = 299.33/x
  3. Step 3: Cross multiply
    465.14x = 641.71 × 299.33
  4. Step 4: Simplify right side
    465.14x = 192,083.05
  5. Step 5: Solve for x
    x = 192,083.05/465.14
  6. Step 6: Final answer
    x = 412.96

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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.