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Finding the Fourth Proportional to 467.66, 700.23 and 304.94

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Solution

The fourth proportional to 467.66, 700.23 and 304.94 is: 456.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.66 : 700.23 = 304.94 : x
  2. Step 2: Convert to fraction form
    467.66/700.23 = 304.94/x
  3. Step 3: Cross multiply
    467.66x = 700.23 × 304.94
  4. Step 4: Simplify right side
    467.66x = 213,528.14
  5. Step 5: Solve for x
    x = 213,528.14/467.66
  6. Step 6: Final answer
    x = 456.59

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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.