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Finding the Fourth Proportional to 343.04, 473.28 and 204.96

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Solution

The fourth proportional to 343.04, 473.28 and 204.96 is: 282.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.04 : 473.28 = 204.96 : x
  2. Step 2: Convert to fraction form
    343.04/473.28 = 204.96/x
  3. Step 3: Cross multiply
    343.04x = 473.28 × 204.96
  4. Step 4: Simplify right side
    343.04x = 97,003.47
  5. Step 5: Solve for x
    x = 97,003.47/343.04
  6. Step 6: Final answer
    x = 282.78

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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.