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Finding the Fourth Proportional to 441.47, 609.16 and 264.39

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Solution

The fourth proportional to 441.47, 609.16 and 264.39 is: 364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.47 : 609.16 = 264.39 : x
  2. Step 2: Convert to fraction form
    441.47/609.16 = 264.39/x
  3. Step 3: Cross multiply
    441.47x = 609.16 × 264.39
  4. Step 4: Simplify right side
    441.47x = 161,052.11
  5. Step 5: Solve for x
    x = 161,052.11/441.47
  6. Step 6: Final answer
    x = 364.81

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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.