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Finding the Fourth Proportional to 441.90, 609.44 and 337.01

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Solution

The fourth proportional to 441.90, 609.44 and 337.01 is: 464.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    441.90 : 609.44 = 337.01 : x
  2. Step 2: Convert to fraction form
    441.90/609.44 = 337.01/x
  3. Step 3: Cross multiply
    441.90x = 609.44 × 337.01
  4. Step 4: Simplify right side
    441.90x = 205,382.64
  5. Step 5: Solve for x
    x = 205,382.64/441.90
  6. Step 6: Final answer
    x = 464.77

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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.