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Finding the Fourth Proportional to 654, 902.52 and 421.44

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Solution

The fourth proportional to 654, 902.52 and 421.44 is: 581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    654 : 902.52 = 421.44 : x
  2. Step 2: Convert to fraction form
    654/902.52 = 421.44/x
  3. Step 3: Cross multiply
    654x = 902.52 × 421.44
  4. Step 4: Simplify right side
    654x = 380,358.03
  5. Step 5: Solve for x
    x = 380,358.03/654
  6. Step 6: Final answer
    x = 581.59

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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.