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Finding the Fourth Proportional to 901.68, 1,353 and 414.48

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Solution

The fourth proportional to 901.68, 1,353 and 414.48 is: 621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.68 : 1,353 = 414.48 : x
  2. Step 2: Convert to fraction form
    901.68/1,353 = 414.48/x
  3. Step 3: Cross multiply
    901.68x = 1,353 × 414.48
  4. Step 4: Simplify right side
    901.68x = 560,791.44
  5. Step 5: Solve for x
    x = 560,791.44/901.68
  6. Step 6: Final answer
    x = 621.94

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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.