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Finding the Fourth Proportional to 456.25, 629.67 and 281.65

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Solution

The fourth proportional to 456.25, 629.67 and 281.65 is: 388.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.25 : 629.67 = 281.65 : x
  2. Step 2: Convert to fraction form
    456.25/629.67 = 281.65/x
  3. Step 3: Cross multiply
    456.25x = 629.67 × 281.65
  4. Step 4: Simplify right side
    456.25x = 177,346.56
  5. Step 5: Solve for x
    x = 177,346.56/456.25
  6. Step 6: Final answer
    x = 388.70

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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.