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Finding the Fourth Proportional to 443.50, 612.41 and 277.99

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Solution

The fourth proportional to 443.50, 612.41 and 277.99 is: 383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.50 : 612.41 = 277.99 : x
  2. Step 2: Convert to fraction form
    443.50/612.41 = 277.99/x
  3. Step 3: Cross multiply
    443.50x = 612.41 × 277.99
  4. Step 4: Simplify right side
    443.50x = 170,240.93
  5. Step 5: Solve for x
    x = 170,240.93/443.50
  6. Step 6: Final answer
    x = 383.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.