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Finding the Fourth Proportional to 441.02, 608.57 and 263.95

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Solution

The fourth proportional to 441.02, 608.57 and 263.95 is: 364.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.02 : 608.57 = 263.95 : x
  2. Step 2: Convert to fraction form
    441.02/608.57 = 263.95/x
  3. Step 3: Cross multiply
    441.02x = 608.57 × 263.95
  4. Step 4: Simplify right side
    441.02x = 160,629.01
  5. Step 5: Solve for x
    x = 160,629.01/441.02
  6. Step 6: Final answer
    x = 364.22

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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.