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Finding the Fourth Proportional to 448.00, 672.23 and 326.81

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Solution

The fourth proportional to 448.00, 672.23 and 326.81 is: 490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.00 : 672.23 = 326.81 : x
  2. Step 2: Convert to fraction form
    448.00/672.23 = 326.81/x
  3. Step 3: Cross multiply
    448.00x = 672.23 × 326.81
  4. Step 4: Simplify right side
    448.00x = 219,693.98
  5. Step 5: Solve for x
    x = 219,693.98/448.00
  6. Step 6: Final answer
    x = 490.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.