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Finding the Fourth Proportional to 319.09, 476.84 and 301.54

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Solution

The fourth proportional to 319.09, 476.84 and 301.54 is: 450.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.09 : 476.84 = 301.54 : x
  2. Step 2: Convert to fraction form
    319.09/476.84 = 301.54/x
  3. Step 3: Cross multiply
    319.09x = 476.84 × 301.54
  4. Step 4: Simplify right side
    319.09x = 143,786.33
  5. Step 5: Solve for x
    x = 143,786.33/319.09
  6. Step 6: Final answer
    x = 450.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.