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Finding the Fourth Proportional to 985.78, 1,478.39 and 369.44

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Solution

The fourth proportional to 985.78, 1,478.39 and 369.44 is: 554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.78 : 1,478.39 = 369.44 : x
  2. Step 2: Convert to fraction form
    985.78/1,478.39 = 369.44/x
  3. Step 3: Cross multiply
    985.78x = 1,478.39 × 369.44
  4. Step 4: Simplify right side
    985.78x = 546,169.01
  5. Step 5: Solve for x
    x = 546,169.01/985.78
  6. Step 6: Final answer
    x = 554.05

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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.