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Finding the Fourth Proportional to 451.51, 622.82 and 294.17

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Solution

The fourth proportional to 451.51, 622.82 and 294.17 is: 405.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.51 : 622.82 = 294.17 : x
  2. Step 2: Convert to fraction form
    451.51/622.82 = 294.17/x
  3. Step 3: Cross multiply
    451.51x = 622.82 × 294.17
  4. Step 4: Simplify right side
    451.51x = 183,212.58
  5. Step 5: Solve for x
    x = 183,212.58/451.51
  6. Step 6: Final answer
    x = 405.78

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Why These Related Problems?

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