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Finding the Fourth Proportional to 471.80, 708.78 and 442.64

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Solution

The fourth proportional to 471.80, 708.78 and 442.64 is: 664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.80 : 708.78 = 442.64 : x
  2. Step 2: Convert to fraction form
    471.80/708.78 = 442.64/x
  3. Step 3: Cross multiply
    471.80x = 708.78 × 442.64
  4. Step 4: Simplify right side
    471.80x = 313,734.38
  5. Step 5: Solve for x
    x = 313,734.38/471.80
  6. Step 6: Final answer
    x = 664.97

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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.