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Finding the Fourth Proportional to 901.41, 1,351.94 and 414.35

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Solution

The fourth proportional to 901.41, 1,351.94 and 414.35 is: 621.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.41 : 1,351.94 = 414.35 : x
  2. Step 2: Convert to fraction form
    901.41/1,351.94 = 414.35/x
  3. Step 3: Cross multiply
    901.41x = 1,351.94 × 414.35
  4. Step 4: Simplify right side
    901.41x = 560,174.91
  5. Step 5: Solve for x
    x = 560,174.91/901.41
  6. Step 6: Final answer
    x = 621.44

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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.