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Finding the Fourth Proportional to 313.78, 470.71 and 211.03

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Solution

The fourth proportional to 313.78, 470.71 and 211.03 is: 316.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.78 : 470.71 = 211.03 : x
  2. Step 2: Convert to fraction form
    313.78/470.71 = 211.03/x
  3. Step 3: Cross multiply
    313.78x = 470.71 × 211.03
  4. Step 4: Simplify right side
    313.78x = 99,333.93
  5. Step 5: Solve for x
    x = 99,333.93/313.78
  6. Step 6: Final answer
    x = 316.57

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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.