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Finding the Fourth Proportional to 400.08, 599.82 and 277.98

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Solution

The fourth proportional to 400.08, 599.82 and 277.98 is: 416.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.08 : 599.82 = 277.98 : x
  2. Step 2: Convert to fraction form
    400.08/599.82 = 277.98/x
  3. Step 3: Cross multiply
    400.08x = 599.82 × 277.98
  4. Step 4: Simplify right side
    400.08x = 166,737.96
  5. Step 5: Solve for x
    x = 166,737.96/400.08
  6. Step 6: Final answer
    x = 416.76

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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.