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Finding the Fourth Proportional to 301.28, 414.96 and 278.20

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Solution

The fourth proportional to 301.28, 414.96 and 278.20 is: 383.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.28 : 414.96 = 278.20 : x
  2. Step 2: Convert to fraction form
    301.28/414.96 = 278.20/x
  3. Step 3: Cross multiply
    301.28x = 414.96 × 278.20
  4. Step 4: Simplify right side
    301.28x = 115,441.87
  5. Step 5: Solve for x
    x = 115,441.87/301.28
  6. Step 6: Final answer
    x = 383.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.