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Finding the Fourth Proportional to 654.29, 902.86 and 374.50

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Solution

The fourth proportional to 654.29, 902.86 and 374.50 is: 516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.29 : 902.86 = 374.50 : x
  2. Step 2: Convert to fraction form
    654.29/902.86 = 374.50/x
  3. Step 3: Cross multiply
    654.29x = 902.86 × 374.50
  4. Step 4: Simplify right side
    654.29x = 338,121.07
  5. Step 5: Solve for x
    x = 338,121.07/654.29
  6. Step 6: Final answer
    x = 516.78

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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.