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Finding the Fourth Proportional to 465.42, 641.96 and 299.38

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Solution

The fourth proportional to 465.42, 641.96 and 299.38 is: 412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    465.42 : 641.96 = 299.38 : x
  2. Step 2: Convert to fraction form
    465.42/641.96 = 299.38/x
  3. Step 3: Cross multiply
    465.42x = 641.96 × 299.38
  4. Step 4: Simplify right side
    465.42x = 192,189.98
  5. Step 5: Solve for x
    x = 192,189.98/465.42
  6. Step 6: Final answer
    x = 412.94

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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.