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Finding the Fourth Proportional to 448.86, 673.41 and 325.23

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Solution

The fourth proportional to 448.86, 673.41 and 325.23 is: 487.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.86 : 673.41 = 325.23 : x
  2. Step 2: Convert to fraction form
    448.86/673.41 = 325.23/x
  3. Step 3: Cross multiply
    448.86x = 673.41 × 325.23
  4. Step 4: Simplify right side
    448.86x = 219,013.13
  5. Step 5: Solve for x
    x = 219,013.13/448.86
  6. Step 6: Final answer
    x = 487.93

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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.