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Finding the Fourth Proportional to 479.82, 662.54 and 442.97

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Solution

The fourth proportional to 479.82, 662.54 and 442.97 is: 611.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.82 : 662.54 = 442.97 : x
  2. Step 2: Convert to fraction form
    479.82/662.54 = 442.97/x
  3. Step 3: Cross multiply
    479.82x = 662.54 × 442.97
  4. Step 4: Simplify right side
    479.82x = 293,479.82
  5. Step 5: Solve for x
    x = 293,479.82/479.82
  6. Step 6: Final answer
    x = 611.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.