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Finding the Fourth Proportional to 313.26, 470.10 and 210.75

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Solution

The fourth proportional to 313.26, 470.10 and 210.75 is: 316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.26 : 470.10 = 210.75 : x
  2. Step 2: Convert to fraction form
    313.26/470.10 = 210.75/x
  3. Step 3: Cross multiply
    313.26x = 470.10 × 210.75
  4. Step 4: Simplify right side
    313.26x = 99,073.58
  5. Step 5: Solve for x
    x = 99,073.58/313.26
  6. Step 6: Final answer
    x = 316.27

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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.