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Finding the Fourth Proportional to 369.09, 509.36 and 244.89

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Solution

The fourth proportional to 369.09, 509.36 and 244.89 is: 337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.09 : 509.36 = 244.89 : x
  2. Step 2: Convert to fraction form
    369.09/509.36 = 244.89/x
  3. Step 3: Cross multiply
    369.09x = 509.36 × 244.89
  4. Step 4: Simplify right side
    369.09x = 124,735.95
  5. Step 5: Solve for x
    x = 124,735.95/369.09
  6. Step 6: Final answer
    x = 337.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.