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Finding the Fourth Proportional to 345.46, 476.54 and 227.46

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Solution

The fourth proportional to 345.46, 476.54 and 227.46 is: 313.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.46 : 476.54 = 227.46 : x
  2. Step 2: Convert to fraction form
    345.46/476.54 = 227.46/x
  3. Step 3: Cross multiply
    345.46x = 476.54 × 227.46
  4. Step 4: Simplify right side
    345.46x = 108,391.41
  5. Step 5: Solve for x
    x = 108,391.41/345.46
  6. Step 6: Final answer
    x = 313.76

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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.