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Finding the Fourth Proportional to 441.53, 609.45 and 264.62

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Solution

The fourth proportional to 441.53, 609.45 and 264.62 is: 365.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.53 : 609.45 = 264.62 : x
  2. Step 2: Convert to fraction form
    441.53/609.45 = 264.62/x
  3. Step 3: Cross multiply
    441.53x = 609.45 × 264.62
  4. Step 4: Simplify right side
    441.53x = 161,272.66
  5. Step 5: Solve for x
    x = 161,272.66/441.53
  6. Step 6: Final answer
    x = 365.26

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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.