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Finding the Fourth Proportional to 901.75, 1,352.64 and 324.64

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Solution

The fourth proportional to 901.75, 1,352.64 and 324.64 is: 486.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.75 : 1,352.64 = 324.64 : x
  2. Step 2: Convert to fraction form
    901.75/1,352.64 = 324.64/x
  3. Step 3: Cross multiply
    901.75x = 1,352.64 × 324.64
  4. Step 4: Simplify right side
    901.75x = 439,121.05
  5. Step 5: Solve for x
    x = 439,121.05/901.75
  6. Step 6: Final answer
    x = 486.97

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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.