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Finding the Fourth Proportional to 313.31, 470.16 and 284.69

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Solution

The fourth proportional to 313.31, 470.16 and 284.69 is: 427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.31 : 470.16 = 284.69 : x
  2. Step 2: Convert to fraction form
    313.31/470.16 = 284.69/x
  3. Step 3: Cross multiply
    313.31x = 470.16 × 284.69
  4. Step 4: Simplify right side
    313.31x = 133,847.50
  5. Step 5: Solve for x
    x = 133,847.50/313.31
  6. Step 6: Final answer
    x = 427.21

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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.