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Finding the Fourth Proportional to 335.76, 463.64 and 324.88

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Solution

The fourth proportional to 335.76, 463.64 and 324.88 is: 448.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.76 : 463.64 = 324.88 : x
  2. Step 2: Convert to fraction form
    335.76/463.64 = 324.88/x
  3. Step 3: Cross multiply
    335.76x = 463.64 × 324.88
  4. Step 4: Simplify right side
    335.76x = 150,627.36
  5. Step 5: Solve for x
    x = 150,627.36/335.76
  6. Step 6: Final answer
    x = 448.62

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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.