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Finding the Fourth Proportional to 369.19, 509.49 and 203.41

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Solution

The fourth proportional to 369.19, 509.49 and 203.41 is: 280.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.19 : 509.49 = 203.41 : x
  2. Step 2: Convert to fraction form
    369.19/509.49 = 203.41/x
  3. Step 3: Cross multiply
    369.19x = 509.49 × 203.41
  4. Step 4: Simplify right side
    369.19x = 103,636.89
  5. Step 5: Solve for x
    x = 103,636.89/369.19
  6. Step 6: Final answer
    x = 280.72

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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.