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Finding the Fourth Proportional to 313.70, 470.68 and 284.80

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Solution

The fourth proportional to 313.70, 470.68 and 284.80 is: 427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.70 : 470.68 = 284.80 : x
  2. Step 2: Convert to fraction form
    313.70/470.68 = 284.80/x
  3. Step 3: Cross multiply
    313.70x = 470.68 × 284.80
  4. Step 4: Simplify right side
    313.70x = 134,049.66
  5. Step 5: Solve for x
    x = 134,049.66/313.70
  6. Step 6: Final answer
    x = 427.32

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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.