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Finding the Fourth Proportional to 316.62, 473.66 and 273.75

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Solution

The fourth proportional to 316.62, 473.66 and 273.75 is: 409.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.62 : 473.66 = 273.75 : x
  2. Step 2: Convert to fraction form
    316.62/473.66 = 273.75/x
  3. Step 3: Cross multiply
    316.62x = 473.66 × 273.75
  4. Step 4: Simplify right side
    316.62x = 129,661.54
  5. Step 5: Solve for x
    x = 129,661.54/316.62
  6. Step 6: Final answer
    x = 409.52

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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.