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Finding the Fourth Proportional to 399.94, 599.45 and 180.32

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Solution

The fourth proportional to 399.94, 599.45 and 180.32 is: 270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.94 : 599.45 = 180.32 : x
  2. Step 2: Convert to fraction form
    399.94/599.45 = 180.32/x
  3. Step 3: Cross multiply
    399.94x = 599.45 × 180.32
  4. Step 4: Simplify right side
    399.94x = 108,088.93
  5. Step 5: Solve for x
    x = 108,088.93/399.94
  6. Step 6: Final answer
    x = 270.26

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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.