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Finding the Fourth Proportional to 479.66, 661.42 and 416.94

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Solution

The fourth proportional to 479.66, 661.42 and 416.94 is: 574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.66 : 661.42 = 416.94 : x
  2. Step 2: Convert to fraction form
    479.66/661.42 = 416.94/x
  3. Step 3: Cross multiply
    479.66x = 661.42 × 416.94
  4. Step 4: Simplify right side
    479.66x = 275,772.45
  5. Step 5: Solve for x
    x = 275,772.45/479.66
  6. Step 6: Final answer
    x = 574.93

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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.