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Finding the Fourth Proportional to 343.33, 473.75 and 203.45

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Solution

The fourth proportional to 343.33, 473.75 and 203.45 is: 280.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.33 : 473.75 = 203.45 : x
  2. Step 2: Convert to fraction form
    343.33/473.75 = 203.45/x
  3. Step 3: Cross multiply
    343.33x = 473.75 × 203.45
  4. Step 4: Simplify right side
    343.33x = 96,381.05
  5. Step 5: Solve for x
    x = 96,381.05/343.33
  6. Step 6: Final answer
    x = 280.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.