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Finding the Fourth Proportional to 398.69, 549.72 and 343.34

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Solution

The fourth proportional to 398.69, 549.72 and 343.34 is: 473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.69 : 549.72 = 343.34 : x
  2. Step 2: Convert to fraction form
    398.69/549.72 = 343.34/x
  3. Step 3: Cross multiply
    398.69x = 549.72 × 343.34
  4. Step 4: Simplify right side
    398.69x = 188,738.12
  5. Step 5: Solve for x
    x = 188,738.12/398.69
  6. Step 6: Final answer
    x = 473.39

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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.