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Finding the Fourth Proportional to 369.37, 553.03 and 278.48

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Solution

The fourth proportional to 369.37, 553.03 and 278.48 is: 416.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.37 : 553.03 = 278.48 : x
  2. Step 2: Convert to fraction form
    369.37/553.03 = 278.48/x
  3. Step 3: Cross multiply
    369.37x = 553.03 × 278.48
  4. Step 4: Simplify right side
    369.37x = 154,007.79
  5. Step 5: Solve for x
    x = 154,007.79/369.37
  6. Step 6: Final answer
    x = 416.95

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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.