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Finding the Fourth Proportional to 302.94, 452.21 and 280.37

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Solution

The fourth proportional to 302.94, 452.21 and 280.37 is: 418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.94 : 452.21 = 280.37 : x
  2. Step 2: Convert to fraction form
    302.94/452.21 = 280.37/x
  3. Step 3: Cross multiply
    302.94x = 452.21 × 280.37
  4. Step 4: Simplify right side
    302.94x = 126,785.85
  5. Step 5: Solve for x
    x = 126,785.85/302.94
  6. Step 6: Final answer
    x = 418.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.