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Finding the Fourth Proportional to 467.44, 699.56 and 304.88

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Solution

The fourth proportional to 467.44, 699.56 and 304.88 is: 456.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.44 : 699.56 = 304.88 : x
  2. Step 2: Convert to fraction form
    467.44/699.56 = 304.88/x
  3. Step 3: Cross multiply
    467.44x = 699.56 × 304.88
  4. Step 4: Simplify right side
    467.44x = 213,281.85
  5. Step 5: Solve for x
    x = 213,281.85/467.44
  6. Step 6: Final answer
    x = 456.28

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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.