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Finding the Fourth Proportional to 424.14, 584.98 and 274.65

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Solution

The fourth proportional to 424.14, 584.98 and 274.65 is: 378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.14 : 584.98 = 274.65 : x
  2. Step 2: Convert to fraction form
    424.14/584.98 = 274.65/x
  3. Step 3: Cross multiply
    424.14x = 584.98 × 274.65
  4. Step 4: Simplify right side
    424.14x = 160,664.76
  5. Step 5: Solve for x
    x = 160,664.76/424.14
  6. Step 6: Final answer
    x = 378.80

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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.