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Finding the Fourth Proportional to 441.21, 608.86 and 264.25

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Solution

The fourth proportional to 441.21, 608.86 and 264.25 is: 364.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.21 : 608.86 = 264.25 : x
  2. Step 2: Convert to fraction form
    441.21/608.86 = 264.25/x
  3. Step 3: Cross multiply
    441.21x = 608.86 × 264.25
  4. Step 4: Simplify right side
    441.21x = 160,889.07
  5. Step 5: Solve for x
    x = 160,889.07/441.21
  6. Step 6: Final answer
    x = 364.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.