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Finding the Fourth Proportional to 423.67, 584.89 and 274.51

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Solution

The fourth proportional to 423.67, 584.89 and 274.51 is: 378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.67 : 584.89 = 274.51 : x
  2. Step 2: Convert to fraction form
    423.67/584.89 = 274.51/x
  3. Step 3: Cross multiply
    423.67x = 584.89 × 274.51
  4. Step 4: Simplify right side
    423.67x = 160,554.91
  5. Step 5: Solve for x
    x = 160,554.91/423.67
  6. Step 6: Final answer
    x = 378.96

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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.