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Finding the Fourth Proportional to 316.44, 434.70 and 277.56

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Solution

The fourth proportional to 316.44, 434.70 and 277.56 is: 381.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.44 : 434.70 = 277.56 : x
  2. Step 2: Convert to fraction form
    316.44/434.70 = 277.56/x
  3. Step 3: Cross multiply
    316.44x = 434.70 × 277.56
  4. Step 4: Simplify right side
    316.44x = 120,655.33
  5. Step 5: Solve for x
    x = 120,655.33/316.44
  6. Step 6: Final answer
    x = 381.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.