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Finding the Fourth Proportional to 436.44, 654.34 and 290.22

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Solution

The fourth proportional to 436.44, 654.34 and 290.22 is: 435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.44 : 654.34 = 290.22 : x
  2. Step 2: Convert to fraction form
    436.44/654.34 = 290.22/x
  3. Step 3: Cross multiply
    436.44x = 654.34 × 290.22
  4. Step 4: Simplify right side
    436.44x = 189,902.55
  5. Step 5: Solve for x
    x = 189,902.55/436.44
  6. Step 6: Final answer
    x = 435.12

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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.