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Finding the Fourth Proportional to 480.86, 662.24 and 418.66

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Solution

The fourth proportional to 480.86, 662.24 and 418.66 is: 576.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.86 : 662.24 = 418.66 : x
  2. Step 2: Convert to fraction form
    480.86/662.24 = 418.66/x
  3. Step 3: Cross multiply
    480.86x = 662.24 × 418.66
  4. Step 4: Simplify right side
    480.86x = 277,253.40
  5. Step 5: Solve for x
    x = 277,253.40/480.86
  6. Step 6: Final answer
    x = 576.58

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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.