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Finding the Fourth Proportional to 653.96, 902.49 and 374.25

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Solution

The fourth proportional to 653.96, 902.49 and 374.25 is: 516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.96 : 902.49 = 374.25 : x
  2. Step 2: Convert to fraction form
    653.96/902.49 = 374.25/x
  3. Step 3: Cross multiply
    653.96x = 902.49 × 374.25
  4. Step 4: Simplify right side
    653.96x = 337,756.88
  5. Step 5: Solve for x
    x = 337,756.88/653.96
  6. Step 6: Final answer
    x = 516.48

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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.