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Finding the Fourth Proportional to 399.26, 598.88 and 142.58

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Solution

The fourth proportional to 399.26, 598.88 and 142.58 is: 213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.26 : 598.88 = 142.58 : x
  2. Step 2: Convert to fraction form
    399.26/598.88 = 142.58/x
  3. Step 3: Cross multiply
    399.26x = 598.88 × 142.58
  4. Step 4: Simplify right side
    399.26x = 85,388.31
  5. Step 5: Solve for x
    x = 85,388.31/399.26
  6. Step 6: Final answer
    x = 213.87

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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.