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Finding the Fourth Proportional to 653.80, 902.26 and 374.08

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Solution

The fourth proportional to 653.80, 902.26 and 374.08 is: 516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.80 : 902.26 = 374.08 : x
  2. Step 2: Convert to fraction form
    653.80/902.26 = 374.08/x
  3. Step 3: Cross multiply
    653.80x = 902.26 × 374.08
  4. Step 4: Simplify right side
    653.80x = 337,517.42
  5. Step 5: Solve for x
    x = 337,517.42/653.80
  6. Step 6: Final answer
    x = 516.24

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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.