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Finding the Fourth Proportional to 441.69, 609.52 and 264.64

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Solution

The fourth proportional to 441.69, 609.52 and 264.64 is: 365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.69 : 609.52 = 264.64 : x
  2. Step 2: Convert to fraction form
    441.69/609.52 = 264.64/x
  3. Step 3: Cross multiply
    441.69x = 609.52 × 264.64
  4. Step 4: Simplify right side
    441.69x = 161,301.19
  5. Step 5: Solve for x
    x = 161,301.19/441.69
  6. Step 6: Final answer
    x = 365.19

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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.