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Finding the Fourth Proportional to 398.02, 547.95 and 343.48

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Solution

The fourth proportional to 398.02, 547.95 and 343.48 is: 472.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.02 : 547.95 = 343.48 : x
  2. Step 2: Convert to fraction form
    398.02/547.95 = 343.48/x
  3. Step 3: Cross multiply
    398.02x = 547.95 × 343.48
  4. Step 4: Simplify right side
    398.02x = 188,209.87
  5. Step 5: Solve for x
    x = 188,209.87/398.02
  6. Step 6: Final answer
    x = 472.87

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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.