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Finding the Fourth Proportional to 441.02, 608.81 and 264.06

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Solution

The fourth proportional to 441.02, 608.81 and 264.06 is: 364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.02 : 608.81 = 264.06 : x
  2. Step 2: Convert to fraction form
    441.02/608.81 = 264.06/x
  3. Step 3: Cross multiply
    441.02x = 608.81 × 264.06
  4. Step 4: Simplify right side
    441.02x = 160,761.05
  5. Step 5: Solve for x
    x = 160,761.05/441.02
  6. Step 6: Final answer
    x = 364.53

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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.