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Finding the Fourth Proportional to 280.53, 385.97 and 245.43

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Solution

The fourth proportional to 280.53, 385.97 and 245.43 is: 337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.53 : 385.97 = 245.43 : x
  2. Step 2: Convert to fraction form
    280.53/385.97 = 245.43/x
  3. Step 3: Cross multiply
    280.53x = 385.97 × 245.43
  4. Step 4: Simplify right side
    280.53x = 94,727.39
  5. Step 5: Solve for x
    x = 94,727.39/280.53
  6. Step 6: Final answer
    x = 337.67

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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.