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Finding the Fourth Proportional to 448.76, 617.96 and 324.20

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Solution

The fourth proportional to 448.76, 617.96 and 324.20 is: 446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.76 : 617.96 = 324.20 : x
  2. Step 2: Convert to fraction form
    448.76/617.96 = 324.20/x
  3. Step 3: Cross multiply
    448.76x = 617.96 × 324.20
  4. Step 4: Simplify right side
    448.76x = 200,342.63
  5. Step 5: Solve for x
    x = 200,342.63/448.76
  6. Step 6: Final answer
    x = 446.44

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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.