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Finding the Fourth Proportional to 399.51, 598.86 and 194.09

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Solution

The fourth proportional to 399.51, 598.86 and 194.09 is: 290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.51 : 598.86 = 194.09 : x
  2. Step 2: Convert to fraction form
    399.51/598.86 = 194.09/x
  3. Step 3: Cross multiply
    399.51x = 598.86 × 194.09
  4. Step 4: Simplify right side
    399.51x = 116,229.74
  5. Step 5: Solve for x
    x = 116,229.74/399.51
  6. Step 6: Final answer
    x = 290.93

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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.