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Finding the Fourth Proportional to 397.85, 595.80 and 202.33

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Solution

The fourth proportional to 397.85, 595.80 and 202.33 is: 303.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.85 : 595.80 = 202.33 : x
  2. Step 2: Convert to fraction form
    397.85/595.80 = 202.33/x
  3. Step 3: Cross multiply
    397.85x = 595.80 × 202.33
  4. Step 4: Simplify right side
    397.85x = 120,548.96
  5. Step 5: Solve for x
    x = 120,548.96/397.85
  6. Step 6: Final answer
    x = 303.00

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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.