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Finding the Fourth Proportional to 654.33, 902.94 and 374.58

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Solution

The fourth proportional to 654.33, 902.94 and 374.58 is: 516.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.33 : 902.94 = 374.58 : x
  2. Step 2: Convert to fraction form
    654.33/902.94 = 374.58/x
  3. Step 3: Cross multiply
    654.33x = 902.94 × 374.58
  4. Step 4: Simplify right side
    654.33x = 338,224.20
  5. Step 5: Solve for x
    x = 338,224.20/654.33
  6. Step 6: Final answer
    x = 516.90

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Why These Related Problems?

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