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Finding the Fourth Proportional to 441.39, 609.26 and 264.45

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Solution

The fourth proportional to 441.39, 609.26 and 264.45 is: 365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.39 : 609.26 = 264.45 : x
  2. Step 2: Convert to fraction form
    441.39/609.26 = 264.45/x
  3. Step 3: Cross multiply
    441.39x = 609.26 × 264.45
  4. Step 4: Simplify right side
    441.39x = 161,117.48
  5. Step 5: Solve for x
    x = 161,117.48/441.39
  6. Step 6: Final answer
    x = 365.02

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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.