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Finding the Fourth Proportional to 397.70, 596.54 and 339.38

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Solution

The fourth proportional to 397.70, 596.54 and 339.38 is: 509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.70 : 596.54 = 339.38 : x
  2. Step 2: Convert to fraction form
    397.70/596.54 = 339.38/x
  3. Step 3: Cross multiply
    397.70x = 596.54 × 339.38
  4. Step 4: Simplify right side
    397.70x = 202,453.75
  5. Step 5: Solve for x
    x = 202,453.75/397.70
  6. Step 6: Final answer
    x = 509.06

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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.