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Finding the Fourth Proportional to 456.23, 629.67 and 290.27

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Solution

The fourth proportional to 456.23, 629.67 and 290.27 is: 400.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.23 : 629.67 = 290.27 : x
  2. Step 2: Convert to fraction form
    456.23/629.67 = 290.27/x
  3. Step 3: Cross multiply
    456.23x = 629.67 × 290.27
  4. Step 4: Simplify right side
    456.23x = 182,769.71
  5. Step 5: Solve for x
    x = 182,769.71/456.23
  6. Step 6: Final answer
    x = 400.61

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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.