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Finding the Fourth Proportional to 901.35, 1,351.49 and 414.81

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Solution

The fourth proportional to 901.35, 1,351.49 and 414.81 is: 621.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.35 : 1,351.49 = 414.81 : x
  2. Step 2: Convert to fraction form
    901.35/1,351.49 = 414.81/x
  3. Step 3: Cross multiply
    901.35x = 1,351.49 × 414.81
  4. Step 4: Simplify right side
    901.35x = 560,609.49
  5. Step 5: Solve for x
    x = 560,609.49/901.35
  6. Step 6: Final answer
    x = 621.97

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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.