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Finding the Fourth Proportional to 399.36, 598.79 and 179.99

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Solution

The fourth proportional to 399.36, 598.79 and 179.99 is: 269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.36 : 598.79 = 179.99 : x
  2. Step 2: Convert to fraction form
    399.36/598.79 = 179.99/x
  3. Step 3: Cross multiply
    399.36x = 598.79 × 179.99
  4. Step 4: Simplify right side
    399.36x = 107,772.32
  5. Step 5: Solve for x
    x = 107,772.32/399.36
  6. Step 6: Final answer
    x = 269.86

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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.