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Finding the Fourth Proportional to 654.23, 902.58 and 374.31

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Solution

The fourth proportional to 654.23, 902.58 and 374.31 is: 516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.23 : 902.58 = 374.31 : x
  2. Step 2: Convert to fraction form
    654.23/902.58 = 374.31/x
  3. Step 3: Cross multiply
    654.23x = 902.58 × 374.31
  4. Step 4: Simplify right side
    654.23x = 337,849.34
  5. Step 5: Solve for x
    x = 337,849.34/654.23
  6. Step 6: Final answer
    x = 516.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.