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Finding the Fourth Proportional to 395.64, 596.97 and 395.64

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Solution

The fourth proportional to 395.64, 596.97 and 395.64 is: 596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.64 : 596.97 = 395.64 : x
  2. Step 2: Convert to fraction form
    395.64/596.97 = 395.64/x
  3. Step 3: Cross multiply
    395.64x = 596.97 × 395.64
  4. Step 4: Simplify right side
    395.64x = 236,185.21
  5. Step 5: Solve for x
    x = 236,185.21/395.64
  6. Step 6: Final answer
    x = 596.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.