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Finding the Fourth Proportional to 456.56, 629.83 and 288.44

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Solution

The fourth proportional to 456.56, 629.83 and 288.44 is: 397.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.56 : 629.83 = 288.44 : x
  2. Step 2: Convert to fraction form
    456.56/629.83 = 288.44/x
  3. Step 3: Cross multiply
    456.56x = 629.83 × 288.44
  4. Step 4: Simplify right side
    456.56x = 181,668.17
  5. Step 5: Solve for x
    x = 181,668.17/456.56
  6. Step 6: Final answer
    x = 397.90

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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.