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Finding the Fourth Proportional to 398.32, 548.46 and 339.20

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Solution

The fourth proportional to 398.32, 548.46 and 339.20 is: 467.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.32 : 548.46 = 339.20 : x
  2. Step 2: Convert to fraction form
    398.32/548.46 = 339.20/x
  3. Step 3: Cross multiply
    398.32x = 548.46 × 339.20
  4. Step 4: Simplify right side
    398.32x = 186,037.63
  5. Step 5: Solve for x
    x = 186,037.63/398.32
  6. Step 6: Final answer
    x = 467.06

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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.