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Finding the Fourth Proportional to 436.05, 654.31 and 289.44

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Solution

The fourth proportional to 436.05, 654.31 and 289.44 is: 434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.05 : 654.31 = 289.44 : x
  2. Step 2: Convert to fraction form
    436.05/654.31 = 289.44/x
  3. Step 3: Cross multiply
    436.05x = 654.31 × 289.44
  4. Step 4: Simplify right side
    436.05x = 189,383.49
  5. Step 5: Solve for x
    x = 189,383.49/436.05
  6. Step 6: Final answer
    x = 434.32

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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.