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Finding the Fourth Proportional to 399.62, 598.38 and 283.44

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Solution

The fourth proportional to 399.62, 598.38 and 283.44 is: 424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.62 : 598.38 = 283.44 : x
  2. Step 2: Convert to fraction form
    399.62/598.38 = 283.44/x
  3. Step 3: Cross multiply
    399.62x = 598.38 × 283.44
  4. Step 4: Simplify right side
    399.62x = 169,604.83
  5. Step 5: Solve for x
    x = 169,604.83/399.62
  6. Step 6: Final answer
    x = 424.42

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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.