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Finding the Fourth Proportional to 399.39, 598.14 and 194.10

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Solution

The fourth proportional to 399.39, 598.14 and 194.10 is: 290.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.39 : 598.14 = 194.10 : x
  2. Step 2: Convert to fraction form
    399.39/598.14 = 194.10/x
  3. Step 3: Cross multiply
    399.39x = 598.14 × 194.10
  4. Step 4: Simplify right side
    399.39x = 116,098.97
  5. Step 5: Solve for x
    x = 116,098.97/399.39
  6. Step 6: Final answer
    x = 290.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.