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Finding the Fourth Proportional to 654.18, 902.64 and 374.34

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Solution

The fourth proportional to 654.18, 902.64 and 374.34 is: 516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.18 : 902.64 = 374.34 : x
  2. Step 2: Convert to fraction form
    654.18/902.64 = 374.34/x
  3. Step 3: Cross multiply
    654.18x = 902.64 × 374.34
  4. Step 4: Simplify right side
    654.18x = 337,894.26
  5. Step 5: Solve for x
    x = 337,894.26/654.18
  6. Step 6: Final answer
    x = 516.52

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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.