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Finding the Fourth Proportional to 436.45, 654.89 and 290.30

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Solution

The fourth proportional to 436.45, 654.89 and 290.30 is: 435.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.45 : 654.89 = 290.30 : x
  2. Step 2: Convert to fraction form
    436.45/654.89 = 290.30/x
  3. Step 3: Cross multiply
    436.45x = 654.89 × 290.30
  4. Step 4: Simplify right side
    436.45x = 190,112.02
  5. Step 5: Solve for x
    x = 190,112.02/436.45
  6. Step 6: Final answer
    x = 435.59

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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.