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Finding the Fourth Proportional to 456.19, 629.47 and 269.65

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Solution

The fourth proportional to 456.19, 629.47 and 269.65 is: 372.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.19 : 629.47 = 269.65 : x
  2. Step 2: Convert to fraction form
    456.19/629.47 = 269.65/x
  3. Step 3: Cross multiply
    456.19x = 629.47 × 269.65
  4. Step 4: Simplify right side
    456.19x = 169,736.59
  5. Step 5: Solve for x
    x = 169,736.59/456.19
  6. Step 6: Final answer
    x = 372.07

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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.