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Finding the Fourth Proportional to 456.43, 629.83 and 257.26

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Solution

The fourth proportional to 456.43, 629.83 and 257.26 is: 354.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.43 : 629.83 = 257.26 : x
  2. Step 2: Convert to fraction form
    456.43/629.83 = 257.26/x
  3. Step 3: Cross multiply
    456.43x = 629.83 × 257.26
  4. Step 4: Simplify right side
    456.43x = 162,030.07
  5. Step 5: Solve for x
    x = 162,030.07/456.43
  6. Step 6: Final answer
    x = 354.99

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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.