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Finding the Fourth Proportional to 441.44, 609.12 and 264.35

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Solution

The fourth proportional to 441.44, 609.12 and 264.35 is: 364.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.44 : 609.12 = 264.35 : x
  2. Step 2: Convert to fraction form
    441.44/609.12 = 264.35/x
  3. Step 3: Cross multiply
    441.44x = 609.12 × 264.35
  4. Step 4: Simplify right side
    441.44x = 161,017.83
  5. Step 5: Solve for x
    x = 161,017.83/441.44
  6. Step 6: Final answer
    x = 364.76

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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.