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Finding the Fourth Proportional to 345.45, 476.55 and 227.37

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Solution

The fourth proportional to 345.45, 476.55 and 227.37 is: 313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.45 : 476.55 = 227.37 : x
  2. Step 2: Convert to fraction form
    345.45/476.55 = 227.37/x
  3. Step 3: Cross multiply
    345.45x = 476.55 × 227.37
  4. Step 4: Simplify right side
    345.45x = 108,353.17
  5. Step 5: Solve for x
    x = 108,353.17/345.45
  6. Step 6: Final answer
    x = 313.66

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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.