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Finding the Fourth Proportional to 290.79, 436.19 and 209.79

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Solution

The fourth proportional to 290.79, 436.19 and 209.79 is: 314.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.79 : 436.19 = 209.79 : x
  2. Step 2: Convert to fraction form
    290.79/436.19 = 209.79/x
  3. Step 3: Cross multiply
    290.79x = 436.19 × 209.79
  4. Step 4: Simplify right side
    290.79x = 91,507.25
  5. Step 5: Solve for x
    x = 91,507.25/290.79
  6. Step 6: Final answer
    x = 314.69

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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.