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Finding the Fourth Proportional to 495.98, 744.23 and 236.27

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Solution

The fourth proportional to 495.98, 744.23 and 236.27 is: 354.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.98 : 744.23 = 236.27 : x
  2. Step 2: Convert to fraction form
    495.98/744.23 = 236.27/x
  3. Step 3: Cross multiply
    495.98x = 744.23 × 236.27
  4. Step 4: Simplify right side
    495.98x = 175,839.22
  5. Step 5: Solve for x
    x = 175,839.22/495.98
  6. Step 6: Final answer
    x = 354.53

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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.