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Finding the Fourth Proportional to 654.14, 902.34 and 457.31

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Solution

The fourth proportional to 654.14, 902.34 and 457.31 is: 630.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.14 : 902.34 = 457.31 : x
  2. Step 2: Convert to fraction form
    654.14/902.34 = 457.31/x
  3. Step 3: Cross multiply
    654.14x = 902.34 × 457.31
  4. Step 4: Simplify right side
    654.14x = 412,651.36
  5. Step 5: Solve for x
    x = 412,651.36/654.14
  6. Step 6: Final answer
    x = 630.83

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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.