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Finding the Fourth Proportional to 428.99, 644.09 and 406.58

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Solution

The fourth proportional to 428.99, 644.09 and 406.58 is: 610.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.99 : 644.09 = 406.58 : x
  2. Step 2: Convert to fraction form
    428.99/644.09 = 406.58/x
  3. Step 3: Cross multiply
    428.99x = 644.09 × 406.58
  4. Step 4: Simplify right side
    428.99x = 261,868.86
  5. Step 5: Solve for x
    x = 261,868.86/428.99
  6. Step 6: Final answer
    x = 610.44

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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.