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Finding the Fourth Proportional to 653.88, 902.36 and 374.14

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Solution

The fourth proportional to 653.88, 902.36 and 374.14 is: 516.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.88 : 902.36 = 374.14 : x
  2. Step 2: Convert to fraction form
    653.88/902.36 = 374.14/x
  3. Step 3: Cross multiply
    653.88x = 902.36 × 374.14
  4. Step 4: Simplify right side
    653.88x = 337,608.97
  5. Step 5: Solve for x
    x = 337,608.97/653.88
  6. Step 6: Final answer
    x = 516.32

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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.