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Finding the Fourth Proportional to 451.39, 622.51 and 304.22

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Solution

The fourth proportional to 451.39, 622.51 and 304.22 is: 419.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.39 : 622.51 = 304.22 : x
  2. Step 2: Convert to fraction form
    451.39/622.51 = 304.22/x
  3. Step 3: Cross multiply
    451.39x = 622.51 × 304.22
  4. Step 4: Simplify right side
    451.39x = 189,379.99
  5. Step 5: Solve for x
    x = 189,379.99/451.39
  6. Step 6: Final answer
    x = 419.55

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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.