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Finding the Fourth Proportional to 343.25, 473.82 and 225.32

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Solution

The fourth proportional to 343.25, 473.82 and 225.32 is: 311.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.25 : 473.82 = 225.32 : x
  2. Step 2: Convert to fraction form
    343.25/473.82 = 225.32/x
  3. Step 3: Cross multiply
    343.25x = 473.82 × 225.32
  4. Step 4: Simplify right side
    343.25x = 106,758.75
  5. Step 5: Solve for x
    x = 106,758.75/343.25
  6. Step 6: Final answer
    x = 311.03

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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.