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Finding the Fourth Proportional to 423.86, 634.95 and 279.14

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Solution

The fourth proportional to 423.86, 634.95 and 279.14 is: 418.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.86 : 634.95 = 279.14 : x
  2. Step 2: Convert to fraction form
    423.86/634.95 = 279.14/x
  3. Step 3: Cross multiply
    423.86x = 634.95 × 279.14
  4. Step 4: Simplify right side
    423.86x = 177,239.94
  5. Step 5: Solve for x
    x = 177,239.94/423.86
  6. Step 6: Final answer
    x = 418.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.