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Finding the Fourth Proportional to 398.16, 548.64 and 338.94

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Solution

The fourth proportional to 398.16, 548.64 and 338.94 is: 467.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.16 : 548.64 = 338.94 : x
  2. Step 2: Convert to fraction form
    398.16/548.64 = 338.94/x
  3. Step 3: Cross multiply
    398.16x = 548.64 × 338.94
  4. Step 4: Simplify right side
    398.16x = 185,956.04
  5. Step 5: Solve for x
    x = 185,956.04/398.16
  6. Step 6: Final answer
    x = 467.04

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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.