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Finding the Fourth Proportional to 901.68, 1,352.32 and 414.27

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Solution

The fourth proportional to 901.68, 1,352.32 and 414.27 is: 621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.68 : 1,352.32 = 414.27 : x
  2. Step 2: Convert to fraction form
    901.68/1,352.32 = 414.27/x
  3. Step 3: Cross multiply
    901.68x = 1,352.32 × 414.27
  4. Step 4: Simplify right side
    901.68x = 560,218.84
  5. Step 5: Solve for x
    x = 560,218.84/901.68
  6. Step 6: Final answer
    x = 621.31

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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.