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Finding the Fourth Proportional to 637.02, 878.61 and 427.43

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Solution

The fourth proportional to 637.02, 878.61 and 427.43 is: 589.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.02 : 878.61 = 427.43 : x
  2. Step 2: Convert to fraction form
    637.02/878.61 = 427.43/x
  3. Step 3: Cross multiply
    637.02x = 878.61 × 427.43
  4. Step 4: Simplify right side
    637.02x = 375,546.47
  5. Step 5: Solve for x
    x = 375,546.47/637.02
  6. Step 6: Final answer
    x = 589.54

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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.