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Finding the Fourth Proportional to 476.80, 657.70 and 280.27

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Solution

The fourth proportional to 476.80, 657.70 and 280.27 is: 386.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.80 : 657.70 = 280.27 : x
  2. Step 2: Convert to fraction form
    476.80/657.70 = 280.27/x
  3. Step 3: Cross multiply
    476.80x = 657.70 × 280.27
  4. Step 4: Simplify right side
    476.80x = 184,333.58
  5. Step 5: Solve for x
    x = 184,333.58/476.80
  6. Step 6: Final answer
    x = 386.61

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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.