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Finding the Fourth Proportional to 395.78, 590.84 and 367.22

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Solution

The fourth proportional to 395.78, 590.84 and 367.22 is: 548.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.78 : 590.84 = 367.22 : x
  2. Step 2: Convert to fraction form
    395.78/590.84 = 367.22/x
  3. Step 3: Cross multiply
    395.78x = 590.84 × 367.22
  4. Step 4: Simplify right side
    395.78x = 216,963.47
  5. Step 5: Solve for x
    x = 216,963.47/395.78
  6. Step 6: Final answer
    x = 548.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.