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Finding the Fourth Proportional to 456.00, 629.18 and 269.37

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Solution

The fourth proportional to 456.00, 629.18 and 269.37 is: 371.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.00 : 629.18 = 269.37 : x
  2. Step 2: Convert to fraction form
    456.00/629.18 = 269.37/x
  3. Step 3: Cross multiply
    456.00x = 629.18 × 269.37
  4. Step 4: Simplify right side
    456.00x = 169,479.74
  5. Step 5: Solve for x
    x = 169,479.74/456.00
  6. Step 6: Final answer
    x = 371.66

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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.