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Finding the Fourth Proportional to 400.35, 599.49 and 278.43

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Solution

The fourth proportional to 400.35, 599.49 and 278.43 is: 416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.35 : 599.49 = 278.43 : x
  2. Step 2: Convert to fraction form
    400.35/599.49 = 278.43/x
  3. Step 3: Cross multiply
    400.35x = 599.49 × 278.43
  4. Step 4: Simplify right side
    400.35x = 166,916.00
  5. Step 5: Solve for x
    x = 166,916.00/400.35
  6. Step 6: Final answer
    x = 416.93

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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.