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Finding the Fourth Proportional to 464.82, 693.44 and 428.37

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Solution

The fourth proportional to 464.82, 693.44 and 428.37 is: 639.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.82 : 693.44 = 428.37 : x
  2. Step 2: Convert to fraction form
    464.82/693.44 = 428.37/x
  3. Step 3: Cross multiply
    464.82x = 693.44 × 428.37
  4. Step 4: Simplify right side
    464.82x = 297,046.75
  5. Step 5: Solve for x
    x = 297,046.75/464.82
  6. Step 6: Final answer
    x = 639.06

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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.