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Finding the Fourth Proportional to 464.81, 697.49 and 428.09

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Solution

The fourth proportional to 464.81, 697.49 and 428.09 is: 642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.81 : 697.49 = 428.09 : x
  2. Step 2: Convert to fraction form
    464.81/697.49 = 428.09/x
  3. Step 3: Cross multiply
    464.81x = 697.49 × 428.09
  4. Step 4: Simplify right side
    464.81x = 298,586.35
  5. Step 5: Solve for x
    x = 298,586.35/464.81
  6. Step 6: Final answer
    x = 642.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.