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Finding the Fourth Proportional to 316.12, 473.69 and 213.04

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Solution

The fourth proportional to 316.12, 473.69 and 213.04 is: 319.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.12 : 473.69 = 213.04 : x
  2. Step 2: Convert to fraction form
    316.12/473.69 = 213.04/x
  3. Step 3: Cross multiply
    316.12x = 473.69 × 213.04
  4. Step 4: Simplify right side
    316.12x = 100,914.92
  5. Step 5: Solve for x
    x = 100,914.92/316.12
  6. Step 6: Final answer
    x = 319.23

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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.