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Finding the Fourth Proportional to 399.50, 598.38 and 193.64

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Solution

The fourth proportional to 399.50, 598.38 and 193.64 is: 290.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.50 : 598.38 = 193.64 : x
  2. Step 2: Convert to fraction form
    399.50/598.38 = 193.64/x
  3. Step 3: Cross multiply
    399.50x = 598.38 × 193.64
  4. Step 4: Simplify right side
    399.50x = 115,867.55
  5. Step 5: Solve for x
    x = 115,867.55/399.50
  6. Step 6: Final answer
    x = 290.03

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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.