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Finding the Fourth Proportional to 307.11, 423.54 and 275.70

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Solution

The fourth proportional to 307.11, 423.54 and 275.70 is: 380.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.11 : 423.54 = 275.70 : x
  2. Step 2: Convert to fraction form
    307.11/423.54 = 275.70/x
  3. Step 3: Cross multiply
    307.11x = 423.54 × 275.70
  4. Step 4: Simplify right side
    307.11x = 116,769.98
  5. Step 5: Solve for x
    x = 116,769.98/307.11
  6. Step 6: Final answer
    x = 380.22

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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.