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Finding the Fourth Proportional to 423.29, 635.09 and 286.89

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Solution

The fourth proportional to 423.29, 635.09 and 286.89 is: 430.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.29 : 635.09 = 286.89 : x
  2. Step 2: Convert to fraction form
    423.29/635.09 = 286.89/x
  3. Step 3: Cross multiply
    423.29x = 635.09 × 286.89
  4. Step 4: Simplify right side
    423.29x = 182,199.54
  5. Step 5: Solve for x
    x = 182,199.54/423.29
  6. Step 6: Final answer
    x = 430.44

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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.