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Finding the Fourth Proportional to 319.46, 441.07 and 214.79

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Solution

The fourth proportional to 319.46, 441.07 and 214.79 is: 296.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.46 : 441.07 = 214.79 : x
  2. Step 2: Convert to fraction form
    319.46/441.07 = 214.79/x
  3. Step 3: Cross multiply
    319.46x = 441.07 × 214.79
  4. Step 4: Simplify right side
    319.46x = 94,738.87
  5. Step 5: Solve for x
    x = 94,738.87/319.46
  6. Step 6: Final answer
    x = 296.56

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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.