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Finding the Fourth Proportional to 290.58, 436.13 and 199.05

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Solution

The fourth proportional to 290.58, 436.13 and 199.05 is: 298.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.58 : 436.13 = 199.05 : x
  2. Step 2: Convert to fraction form
    290.58/436.13 = 199.05/x
  3. Step 3: Cross multiply
    290.58x = 436.13 × 199.05
  4. Step 4: Simplify right side
    290.58x = 86,811.68
  5. Step 5: Solve for x
    x = 86,811.68/290.58
  6. Step 6: Final answer
    x = 298.75

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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.