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Finding the Fourth Proportional to 399.37, 596.77 and 299.89

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Solution

The fourth proportional to 399.37, 596.77 and 299.89 is: 448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.37 : 596.77 = 299.89 : x
  2. Step 2: Convert to fraction form
    399.37/596.77 = 299.89/x
  3. Step 3: Cross multiply
    399.37x = 596.77 × 299.89
  4. Step 4: Simplify right side
    399.37x = 178,965.36
  5. Step 5: Solve for x
    x = 178,965.36/399.37
  6. Step 6: Final answer
    x = 448.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.