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Finding the Fourth Proportional to 599.79, 897.94 and 367.98

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Solution

The fourth proportional to 599.79, 897.94 and 367.98 is: 550.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.79 : 897.94 = 367.98 : x
  2. Step 2: Convert to fraction form
    599.79/897.94 = 367.98/x
  3. Step 3: Cross multiply
    599.79x = 897.94 × 367.98
  4. Step 4: Simplify right side
    599.79x = 330,423.96
  5. Step 5: Solve for x
    x = 330,423.96/599.79
  6. Step 6: Final answer
    x = 550.90

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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.