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Finding the Fourth Proportional to 304.28, 454.26 and 278.32

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Solution

The fourth proportional to 304.28, 454.26 and 278.32 is: 415.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.28 : 454.26 = 278.32 : x
  2. Step 2: Convert to fraction form
    304.28/454.26 = 278.32/x
  3. Step 3: Cross multiply
    304.28x = 454.26 × 278.32
  4. Step 4: Simplify right side
    304.28x = 126,429.64
  5. Step 5: Solve for x
    x = 126,429.64/304.28
  6. Step 6: Final answer
    x = 415.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.