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Finding the Fourth Proportional to 301.33, 414.94 and 294.51

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Solution

The fourth proportional to 301.33, 414.94 and 294.51 is: 405.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.33 : 414.94 = 294.51 : x
  2. Step 2: Convert to fraction form
    301.33/414.94 = 294.51/x
  3. Step 3: Cross multiply
    301.33x = 414.94 × 294.51
  4. Step 4: Simplify right side
    301.33x = 122,203.98
  5. Step 5: Solve for x
    x = 122,203.98/301.33
  6. Step 6: Final answer
    x = 405.55

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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.