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Finding the Fourth Proportional to 395.36, 544.92 and 290.23

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Solution

The fourth proportional to 395.36, 544.92 and 290.23 is: 400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.36 : 544.92 = 290.23 : x
  2. Step 2: Convert to fraction form
    395.36/544.92 = 290.23/x
  3. Step 3: Cross multiply
    395.36x = 544.92 × 290.23
  4. Step 4: Simplify right side
    395.36x = 158,151.72
  5. Step 5: Solve for x
    x = 158,151.72/395.36
  6. Step 6: Final answer
    x = 400.02

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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.