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Finding the Fourth Proportional to 313.34, 470.02 and 205.82

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Solution

The fourth proportional to 313.34, 470.02 and 205.82 is: 308.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.34 : 470.02 = 205.82 : x
  2. Step 2: Convert to fraction form
    313.34/470.02 = 205.82/x
  3. Step 3: Cross multiply
    313.34x = 470.02 × 205.82
  4. Step 4: Simplify right side
    313.34x = 96,736.65
  5. Step 5: Solve for x
    x = 96,736.65/313.34
  6. Step 6: Final answer
    x = 308.72

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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.