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Finding the Fourth Proportional to 345.63, 476.77 and 227.57

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Solution

The fourth proportional to 345.63, 476.77 and 227.57 is: 313.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.63 : 476.77 = 227.57 : x
  2. Step 2: Convert to fraction form
    345.63/476.77 = 227.57/x
  3. Step 3: Cross multiply
    345.63x = 476.77 × 227.57
  4. Step 4: Simplify right side
    345.63x = 108,497.41
  5. Step 5: Solve for x
    x = 108,497.41/345.63
  6. Step 6: Final answer
    x = 313.91

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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.