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Finding the Fourth Proportional to 476.82, 714.97 and 226.39

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Solution

The fourth proportional to 476.82, 714.97 and 226.39 is: 339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.82 : 714.97 = 226.39 : x
  2. Step 2: Convert to fraction form
    476.82/714.97 = 226.39/x
  3. Step 3: Cross multiply
    476.82x = 714.97 × 226.39
  4. Step 4: Simplify right side
    476.82x = 161,862.06
  5. Step 5: Solve for x
    x = 161,862.06/476.82
  6. Step 6: Final answer
    x = 339.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.