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Finding the Fourth Proportional to 423.29, 635.36 and 228.62

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Solution

The fourth proportional to 423.29, 635.36 and 228.62 is: 343.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.29 : 635.36 = 228.62 : x
  2. Step 2: Convert to fraction form
    423.29/635.36 = 228.62/x
  3. Step 3: Cross multiply
    423.29x = 635.36 × 228.62
  4. Step 4: Simplify right side
    423.29x = 145,254.86
  5. Step 5: Solve for x
    x = 145,254.86/423.29
  6. Step 6: Final answer
    x = 343.16

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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.