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Finding the Fourth Proportional to 714.69, 1,072.14 and 227.58

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Solution

The fourth proportional to 714.69, 1,072.14 and 227.58 is: 341.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.69 : 1,072.14 = 227.58 : x
  2. Step 2: Convert to fraction form
    714.69/1,072.14 = 227.58/x
  3. Step 3: Cross multiply
    714.69x = 1,072.14 × 227.58
  4. Step 4: Simplify right side
    714.69x = 243,992.75
  5. Step 5: Solve for x
    x = 243,992.75/714.69
  6. Step 6: Final answer
    x = 341.40

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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.