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Finding the Fourth Proportional to 307.38, 423.14 and 276.06

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Solution

The fourth proportional to 307.38, 423.14 and 276.06 is: 380.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.38 : 423.14 = 276.06 : x
  2. Step 2: Convert to fraction form
    307.38/423.14 = 276.06/x
  3. Step 3: Cross multiply
    307.38x = 423.14 × 276.06
  4. Step 4: Simplify right side
    307.38x = 116,812.03
  5. Step 5: Solve for x
    x = 116,812.03/307.38
  6. Step 6: Final answer
    x = 380.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.