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Finding the Fourth Proportional to 397.70, 596.46 and 202.58

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Solution

The fourth proportional to 397.70, 596.46 and 202.58 is: 303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.70 : 596.46 = 202.58 : x
  2. Step 2: Convert to fraction form
    397.70/596.46 = 202.58/x
  3. Step 3: Cross multiply
    397.70x = 596.46 × 202.58
  4. Step 4: Simplify right side
    397.70x = 120,830.87
  5. Step 5: Solve for x
    x = 120,830.87/397.70
  6. Step 6: Final answer
    x = 303.82

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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.