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Finding the Fourth Proportional to 364.70, 547.44 and 202.34

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Solution

The fourth proportional to 364.70, 547.44 and 202.34 is: 303.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.70 : 547.44 = 202.34 : x
  2. Step 2: Convert to fraction form
    364.70/547.44 = 202.34/x
  3. Step 3: Cross multiply
    364.70x = 547.44 × 202.34
  4. Step 4: Simplify right side
    364.70x = 110,769.01
  5. Step 5: Solve for x
    x = 110,769.01/364.70
  6. Step 6: Final answer
    x = 303.73

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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.