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Finding the Fourth Proportional to 479.80, 662.88 and 406.92

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Solution

The fourth proportional to 479.80, 662.88 and 406.92 is: 562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.80 : 662.88 = 406.92 : x
  2. Step 2: Convert to fraction form
    479.80/662.88 = 406.92/x
  3. Step 3: Cross multiply
    479.80x = 662.88 × 406.92
  4. Step 4: Simplify right side
    479.80x = 269,739.13
  5. Step 5: Solve for x
    x = 269,739.13/479.80
  6. Step 6: Final answer
    x = 562.19

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