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Finding the Fourth Proportional to 305.60, 421.63 and 200.75

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Solution

The fourth proportional to 305.60, 421.63 and 200.75 is: 276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.60 : 421.63 = 200.75 : x
  2. Step 2: Convert to fraction form
    305.60/421.63 = 200.75/x
  3. Step 3: Cross multiply
    305.60x = 421.63 × 200.75
  4. Step 4: Simplify right side
    305.60x = 84,642.77
  5. Step 5: Solve for x
    x = 84,642.77/305.60
  6. Step 6: Final answer
    x = 276.97

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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.