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Finding the Fourth Proportional to 423.49, 584.14 and 276.12

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Solution

The fourth proportional to 423.49, 584.14 and 276.12 is: 380.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.49 : 584.14 = 276.12 : x
  2. Step 2: Convert to fraction form
    423.49/584.14 = 276.12/x
  3. Step 3: Cross multiply
    423.49x = 584.14 × 276.12
  4. Step 4: Simplify right side
    423.49x = 161,292.74
  5. Step 5: Solve for x
    x = 161,292.74/423.49
  6. Step 6: Final answer
    x = 380.87

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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.