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Finding the Fourth Proportional to 320.00, 441.43 and 245.25

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Solution

The fourth proportional to 320.00, 441.43 and 245.25 is: 338.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.00 : 441.43 = 245.25 : x
  2. Step 2: Convert to fraction form
    320.00/441.43 = 245.25/x
  3. Step 3: Cross multiply
    320.00x = 441.43 × 245.25
  4. Step 4: Simplify right side
    320.00x = 108,260.09
  5. Step 5: Solve for x
    x = 108,260.09/320.00
  6. Step 6: Final answer
    x = 338.32

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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.