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Finding the Fourth Proportional to 399.46, 599.28 and 142.96

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Solution

The fourth proportional to 399.46, 599.28 and 142.96 is: 214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.46 : 599.28 = 142.96 : x
  2. Step 2: Convert to fraction form
    399.46/599.28 = 142.96/x
  3. Step 3: Cross multiply
    399.46x = 599.28 × 142.96
  4. Step 4: Simplify right side
    399.46x = 85,673.07
  5. Step 5: Solve for x
    x = 85,673.07/399.46
  6. Step 6: Final answer
    x = 214.47

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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.