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Finding the Fourth Proportional to 304.32, 456.48 and 276.48

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Solution

The fourth proportional to 304.32, 456.48 and 276.48 is: 414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    304.32 : 456.48 = 276.48 : x
  2. Step 2: Convert to fraction form
    304.32/456.48 = 276.48/x
  3. Step 3: Cross multiply
    304.32x = 456.48 × 276.48
  4. Step 4: Simplify right side
    304.32x = 126,207.59
  5. Step 5: Solve for x
    x = 126,207.59/304.32
  6. Step 6: Final answer
    x = 414.72

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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.