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Finding the Fourth Proportional to 343.35, 473.61 and 225.36

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Solution

The fourth proportional to 343.35, 473.61 and 225.36 is: 310.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.35 : 473.61 = 225.36 : x
  2. Step 2: Convert to fraction form
    343.35/473.61 = 225.36/x
  3. Step 3: Cross multiply
    343.35x = 473.61 × 225.36
  4. Step 4: Simplify right side
    343.35x = 106,732.75
  5. Step 5: Solve for x
    x = 106,732.75/343.35
  6. Step 6: Final answer
    x = 310.86

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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.