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Finding the Fourth Proportional to 313.96, 470.14 and 283

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Solution

The fourth proportional to 313.96, 470.14 and 283 is: 423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.96 : 470.14 = 283 : x
  2. Step 2: Convert to fraction form
    313.96/470.14 = 283/x
  3. Step 3: Cross multiply
    313.96x = 470.14 × 283
  4. Step 4: Simplify right side
    313.96x = 133,049.62
  5. Step 5: Solve for x
    x = 133,049.62/313.96
  6. Step 6: Final answer
    x = 423.78

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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.