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Finding the Fourth Proportional to 423.18, 584.09 and 275.56

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Solution

The fourth proportional to 423.18, 584.09 and 275.56 is: 380.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.18 : 584.09 = 275.56 : x
  2. Step 2: Convert to fraction form
    423.18/584.09 = 275.56/x
  3. Step 3: Cross multiply
    423.18x = 584.09 × 275.56
  4. Step 4: Simplify right side
    423.18x = 160,951.84
  5. Step 5: Solve for x
    x = 160,951.84/423.18
  6. Step 6: Final answer
    x = 380.34

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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.