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Finding the Fourth Proportional to 316.51, 475.16 and 273.46

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Solution

The fourth proportional to 316.51, 475.16 and 273.46 is: 410.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.51 : 475.16 = 273.46 : x
  2. Step 2: Convert to fraction form
    316.51/475.16 = 273.46/x
  3. Step 3: Cross multiply
    316.51x = 475.16 × 273.46
  4. Step 4: Simplify right side
    316.51x = 129,937.25
  5. Step 5: Solve for x
    x = 129,937.25/316.51
  6. Step 6: Final answer
    x = 410.53

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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.