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Finding the Fourth Proportional to 654.41, 902.85 and 374.63

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Solution

The fourth proportional to 654.41, 902.85 and 374.63 is: 516.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.41 : 902.85 = 374.63 : x
  2. Step 2: Convert to fraction form
    654.41/902.85 = 374.63/x
  3. Step 3: Cross multiply
    654.41x = 902.85 × 374.63
  4. Step 4: Simplify right side
    654.41x = 338,228.78
  5. Step 5: Solve for x
    x = 338,228.78/654.41
  6. Step 6: Final answer
    x = 516.84

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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.