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Finding the Fourth Proportional to 414.41, 622.14 and 258.47

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Solution

The fourth proportional to 414.41, 622.14 and 258.47 is: 388.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.41 : 622.14 = 258.47 : x
  2. Step 2: Convert to fraction form
    414.41/622.14 = 258.47/x
  3. Step 3: Cross multiply
    414.41x = 622.14 × 258.47
  4. Step 4: Simplify right side
    414.41x = 160,802.78
  5. Step 5: Solve for x
    x = 160,802.78/414.41
  6. Step 6: Final answer
    x = 388.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.