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Finding the Fourth Proportional to 290.36, 436.08 and 229.88

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Solution

The fourth proportional to 290.36, 436.08 and 229.88 is: 345.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290.36 : 436.08 = 229.88 : x
  2. Step 2: Convert to fraction form
    290.36/436.08 = 229.88/x
  3. Step 3: Cross multiply
    290.36x = 436.08 × 229.88
  4. Step 4: Simplify right side
    290.36x = 100,246.07
  5. Step 5: Solve for x
    x = 100,246.07/290.36
  6. Step 6: Final answer
    x = 345.25

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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.