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Finding the Fourth Proportional to 441.21, 608.80 and 264.23

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Solution

The fourth proportional to 441.21, 608.80 and 264.23 is: 364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.21 : 608.80 = 264.23 : x
  2. Step 2: Convert to fraction form
    441.21/608.80 = 264.23/x
  3. Step 3: Cross multiply
    441.21x = 608.80 × 264.23
  4. Step 4: Simplify right side
    441.21x = 160,863.22
  5. Step 5: Solve for x
    x = 160,863.22/441.21
  6. Step 6: Final answer
    x = 364.60

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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.