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Finding the Fourth Proportional to 654.14, 902.72 and 374.35

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Solution

The fourth proportional to 654.14, 902.72 and 374.35 is: 516.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.14 : 902.72 = 374.35 : x
  2. Step 2: Convert to fraction form
    654.14/902.72 = 374.35/x
  3. Step 3: Cross multiply
    654.14x = 902.72 × 374.35
  4. Step 4: Simplify right side
    654.14x = 337,933.23
  5. Step 5: Solve for x
    x = 337,933.23/654.14
  6. Step 6: Final answer
    x = 516.61

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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.