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Finding the Fourth Proportional to 441.74, 661.26 and 435.26

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Solution

The fourth proportional to 441.74, 661.26 and 435.26 is: 651.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.74 : 661.26 = 435.26 : x
  2. Step 2: Convert to fraction form
    441.74/661.26 = 435.26/x
  3. Step 3: Cross multiply
    441.74x = 661.26 × 435.26
  4. Step 4: Simplify right side
    441.74x = 287,820.03
  5. Step 5: Solve for x
    x = 287,820.03/441.74
  6. Step 6: Final answer
    x = 651.56

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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.