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Finding the Fourth Proportional to 456.98, 629.09 and 395.66

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Solution

The fourth proportional to 456.98, 629.09 and 395.66 is: 544.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.98 : 629.09 = 395.66 : x
  2. Step 2: Convert to fraction form
    456.98/629.09 = 395.66/x
  3. Step 3: Cross multiply
    456.98x = 629.09 × 395.66
  4. Step 4: Simplify right side
    456.98x = 248,905.75
  5. Step 5: Solve for x
    x = 248,905.75/456.98
  6. Step 6: Final answer
    x = 544.68

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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.