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Finding the Fourth Proportional to 441.49, 661.93 and 295.29

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Solution

The fourth proportional to 441.49, 661.93 and 295.29 is: 442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.49 : 661.93 = 295.29 : x
  2. Step 2: Convert to fraction form
    441.49/661.93 = 295.29/x
  3. Step 3: Cross multiply
    441.49x = 661.93 × 295.29
  4. Step 4: Simplify right side
    441.49x = 195,461.31
  5. Step 5: Solve for x
    x = 195,461.31/441.49
  6. Step 6: Final answer
    x = 442.73

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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.