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Finding the Fourth Proportional to 456.26, 629.10 and 290.41

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Solution

The fourth proportional to 456.26, 629.10 and 290.41 is: 400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.26 : 629.10 = 290.41 : x
  2. Step 2: Convert to fraction form
    456.26/629.10 = 290.41/x
  3. Step 3: Cross multiply
    456.26x = 629.10 × 290.41
  4. Step 4: Simplify right side
    456.26x = 182,695.36
  5. Step 5: Solve for x
    x = 182,695.36/456.26
  6. Step 6: Final answer
    x = 400.42

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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.