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Finding the Fourth Proportional to 456.29, 629.63 and 257.09

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Solution

The fourth proportional to 456.29, 629.63 and 257.09 is: 354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.29 : 629.63 = 257.09 : x
  2. Step 2: Convert to fraction form
    456.29/629.63 = 257.09/x
  3. Step 3: Cross multiply
    456.29x = 629.63 × 257.09
  4. Step 4: Simplify right side
    456.29x = 161,867.14
  5. Step 5: Solve for x
    x = 161,867.14/456.29
  6. Step 6: Final answer
    x = 354.75

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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.