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Finding the Fourth Proportional to 467.74, 700.59 and 304.73

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Solution

The fourth proportional to 467.74, 700.59 and 304.73 is: 456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.74 : 700.59 = 304.73 : x
  2. Step 2: Convert to fraction form
    467.74/700.59 = 304.73/x
  3. Step 3: Cross multiply
    467.74x = 700.59 × 304.73
  4. Step 4: Simplify right side
    467.74x = 213,490.79
  5. Step 5: Solve for x
    x = 213,490.79/467.74
  6. Step 6: Final answer
    x = 456.43

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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.