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Finding the Fourth Proportional to 423.84, 634.84 and 286.13

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Solution

The fourth proportional to 423.84, 634.84 and 286.13 is: 428.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.84 : 634.84 = 286.13 : x
  2. Step 2: Convert to fraction form
    423.84/634.84 = 286.13/x
  3. Step 3: Cross multiply
    423.84x = 634.84 × 286.13
  4. Step 4: Simplify right side
    423.84x = 181,645.68
  5. Step 5: Solve for x
    x = 181,645.68/423.84
  6. Step 6: Final answer
    x = 428.57

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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.