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Finding the Fourth Proportional to 397.10, 596.02 and 395.64

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Solution

The fourth proportional to 397.10, 596.02 and 395.64 is: 593.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.10 : 596.02 = 395.64 : x
  2. Step 2: Convert to fraction form
    397.10/596.02 = 395.64/x
  3. Step 3: Cross multiply
    397.10x = 596.02 × 395.64
  4. Step 4: Simplify right side
    397.10x = 235,809.35
  5. Step 5: Solve for x
    x = 235,809.35/397.10
  6. Step 6: Final answer
    x = 593.83

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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.