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Finding the Fourth Proportional to 316.72, 434.75 and 280.97

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Solution

The fourth proportional to 316.72, 434.75 and 280.97 is: 385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.72 : 434.75 = 280.97 : x
  2. Step 2: Convert to fraction form
    316.72/434.75 = 280.97/x
  3. Step 3: Cross multiply
    316.72x = 434.75 × 280.97
  4. Step 4: Simplify right side
    316.72x = 122,154.36
  5. Step 5: Solve for x
    x = 122,154.36/316.72
  6. Step 6: Final answer
    x = 385.68

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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.