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Finding the Fourth Proportional to 476.76, 657.96 and 280.28

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Solution

The fourth proportional to 476.76, 657.96 and 280.28 is: 386.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.76 : 657.96 = 280.28 : x
  2. Step 2: Convert to fraction form
    476.76/657.96 = 280.28/x
  3. Step 3: Cross multiply
    476.76x = 657.96 × 280.28
  4. Step 4: Simplify right side
    476.76x = 184,413.03
  5. Step 5: Solve for x
    x = 184,413.03/476.76
  6. Step 6: Final answer
    x = 386.80

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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.