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Finding the Fourth Proportional to 423.54, 635.85 and 286.92

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Solution

The fourth proportional to 423.54, 635.85 and 286.92 is: 430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.54 : 635.85 = 286.92 : x
  2. Step 2: Convert to fraction form
    423.54/635.85 = 286.92/x
  3. Step 3: Cross multiply
    423.54x = 635.85 × 286.92
  4. Step 4: Simplify right side
    423.54x = 182,438.08
  5. Step 5: Solve for x
    x = 182,438.08/423.54
  6. Step 6: Final answer
    x = 430.75

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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.