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Finding the Fourth Proportional to 302.85, 453.20 and 254.25

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Solution

The fourth proportional to 302.85, 453.20 and 254.25 is: 380.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.85 : 453.20 = 254.25 : x
  2. Step 2: Convert to fraction form
    302.85/453.20 = 254.25/x
  3. Step 3: Cross multiply
    302.85x = 453.20 × 254.25
  4. Step 4: Simplify right side
    302.85x = 115,224.83
  5. Step 5: Solve for x
    x = 115,224.83/302.85
  6. Step 6: Final answer
    x = 380.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.