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Finding the Fourth Proportional to 637.44, 951.21 and 564.54

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Solution

The fourth proportional to 637.44, 951.21 and 564.54 is: 842.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.44 : 951.21 = 564.54 : x
  2. Step 2: Convert to fraction form
    637.44/951.21 = 564.54/x
  3. Step 3: Cross multiply
    637.44x = 951.21 × 564.54
  4. Step 4: Simplify right side
    637.44x = 536,996.09
  5. Step 5: Solve for x
    x = 536,996.09/637.44
  6. Step 6: Final answer
    x = 842.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.