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Finding the Fourth Proportional to 441.60, 661.56 and 297.06

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Solution

The fourth proportional to 441.60, 661.56 and 297.06 is: 445.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.60 : 661.56 = 297.06 : x
  2. Step 2: Convert to fraction form
    441.60/661.56 = 297.06/x
  3. Step 3: Cross multiply
    441.60x = 661.56 × 297.06
  4. Step 4: Simplify right side
    441.60x = 196,523.01
  5. Step 5: Solve for x
    x = 196,523.01/441.60
  6. Step 6: Final answer
    x = 445.02

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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.