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Finding the Fourth Proportional to 399.81, 598.44 and 288.43

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Solution

The fourth proportional to 399.81, 598.44 and 288.43 is: 431.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.81 : 598.44 = 288.43 : x
  2. Step 2: Convert to fraction form
    399.81/598.44 = 288.43/x
  3. Step 3: Cross multiply
    399.81x = 598.44 × 288.43
  4. Step 4: Simplify right side
    399.81x = 172,608.05
  5. Step 5: Solve for x
    x = 172,608.05/399.81
  6. Step 6: Final answer
    x = 431.73

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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.