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Finding the Fourth Proportional to 397.30, 596.06 and 336.86

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Solution

The fourth proportional to 397.30, 596.06 and 336.86 is: 505.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.30 : 596.06 = 336.86 : x
  2. Step 2: Convert to fraction form
    397.30/596.06 = 336.86/x
  3. Step 3: Cross multiply
    397.30x = 596.06 × 336.86
  4. Step 4: Simplify right side
    397.30x = 200,788.77
  5. Step 5: Solve for x
    x = 200,788.77/397.30
  6. Step 6: Final answer
    x = 505.38

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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.