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Finding the Fourth Proportional to 280.44, 387.05 and 243.45

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Solution

The fourth proportional to 280.44, 387.05 and 243.45 is: 335.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.44 : 387.05 = 243.45 : x
  2. Step 2: Convert to fraction form
    280.44/387.05 = 243.45/x
  3. Step 3: Cross multiply
    280.44x = 387.05 × 243.45
  4. Step 4: Simplify right side
    280.44x = 94,226.11
  5. Step 5: Solve for x
    x = 94,226.11/280.44
  6. Step 6: Final answer
    x = 335.99

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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.