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Finding the Fourth Proportional to 397.98, 548.64 and 324

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Solution

The fourth proportional to 397.98, 548.64 and 324 is: 446.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.98 : 548.64 = 324 : x
  2. Step 2: Convert to fraction form
    397.98/548.64 = 324/x
  3. Step 3: Cross multiply
    397.98x = 548.64 × 324
  4. Step 4: Simplify right side
    397.98x = 177,759.36
  5. Step 5: Solve for x
    x = 177,759.36/397.98
  6. Step 6: Final answer
    x = 446.65

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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.