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Finding the Fourth Proportional to 320.07, 441.66 and 209.82

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Solution

The fourth proportional to 320.07, 441.66 and 209.82 is: 289.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.07 : 441.66 = 209.82 : x
  2. Step 2: Convert to fraction form
    320.07/441.66 = 209.82/x
  3. Step 3: Cross multiply
    320.07x = 441.66 × 209.82
  4. Step 4: Simplify right side
    320.07x = 92,669.10
  5. Step 5: Solve for x
    x = 92,669.10/320.07
  6. Step 6: Final answer
    x = 289.53

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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.