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Finding the Fourth Proportional to 320.14, 441.73 and 207.89

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Solution

The fourth proportional to 320.14, 441.73 and 207.89 is: 286.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.14 : 441.73 = 207.89 : x
  2. Step 2: Convert to fraction form
    320.14/441.73 = 207.89/x
  3. Step 3: Cross multiply
    320.14x = 441.73 × 207.89
  4. Step 4: Simplify right side
    320.14x = 91,832.87
  5. Step 5: Solve for x
    x = 91,832.87/320.14
  6. Step 6: Final answer
    x = 286.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.