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Finding the Fourth Proportional to 395.22, 544.98 and 301.98

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Solution

The fourth proportional to 395.22, 544.98 and 301.98 is: 416.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.22 : 544.98 = 301.98 : x
  2. Step 2: Convert to fraction form
    395.22/544.98 = 301.98/x
  3. Step 3: Cross multiply
    395.22x = 544.98 × 301.98
  4. Step 4: Simplify right side
    395.22x = 164,573.06
  5. Step 5: Solve for x
    x = 164,573.06/395.22
  6. Step 6: Final answer
    x = 416.41

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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.