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Finding the Fourth Proportional to 490.71, 735.23 and 243.58

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Solution

The fourth proportional to 490.71, 735.23 and 243.58 is: 364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.71 : 735.23 = 243.58 : x
  2. Step 2: Convert to fraction form
    490.71/735.23 = 243.58/x
  3. Step 3: Cross multiply
    490.71x = 735.23 × 243.58
  4. Step 4: Simplify right side
    490.71x = 179,087.32
  5. Step 5: Solve for x
    x = 179,087.32/490.71
  6. Step 6: Final answer
    x = 364.96

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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.