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Finding the Fourth Proportional to 399.44, 598.62 and 180.14

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Solution

The fourth proportional to 399.44, 598.62 and 180.14 is: 269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.44 : 598.62 = 180.14 : x
  2. Step 2: Convert to fraction form
    399.44/598.62 = 180.14/x
  3. Step 3: Cross multiply
    399.44x = 598.62 × 180.14
  4. Step 4: Simplify right side
    399.44x = 107,832.41
  5. Step 5: Solve for x
    x = 107,832.41/399.44
  6. Step 6: Final answer
    x = 269.96

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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.