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Finding the Fourth Proportional to 441.24, 608.99 and 292.43

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Solution

The fourth proportional to 441.24, 608.99 and 292.43 is: 403.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.24 : 608.99 = 292.43 : x
  2. Step 2: Convert to fraction form
    441.24/608.99 = 292.43/x
  3. Step 3: Cross multiply
    441.24x = 608.99 × 292.43
  4. Step 4: Simplify right side
    441.24x = 178,084.63
  5. Step 5: Solve for x
    x = 178,084.63/441.24
  6. Step 6: Final answer
    x = 403.60

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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.