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Finding the Fourth Proportional to 343.42, 473.76 and 225.52

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Solution

The fourth proportional to 343.42, 473.76 and 225.52 is: 311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.42 : 473.76 = 225.52 : x
  2. Step 2: Convert to fraction form
    343.42/473.76 = 225.52/x
  3. Step 3: Cross multiply
    343.42x = 473.76 × 225.52
  4. Step 4: Simplify right side
    343.42x = 106,842.36
  5. Step 5: Solve for x
    x = 106,842.36/343.42
  6. Step 6: Final answer
    x = 311.11

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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.