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Finding the Fourth Proportional to 369.44, 509.26 and 252.80

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Solution

The fourth proportional to 369.44, 509.26 and 252.80 is: 348.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.44 : 509.26 = 252.80 : x
  2. Step 2: Convert to fraction form
    369.44/509.26 = 252.80/x
  3. Step 3: Cross multiply
    369.44x = 509.26 × 252.80
  4. Step 4: Simplify right side
    369.44x = 128,740.93
  5. Step 5: Solve for x
    x = 128,740.93/369.44
  6. Step 6: Final answer
    x = 348.48

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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.