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Finding the Fourth Proportional to 420.09, 630.29 and 281.82

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Solution

The fourth proportional to 420.09, 630.29 and 281.82 is: 422.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.09 : 630.29 = 281.82 : x
  2. Step 2: Convert to fraction form
    420.09/630.29 = 281.82/x
  3. Step 3: Cross multiply
    420.09x = 630.29 × 281.82
  4. Step 4: Simplify right side
    420.09x = 177,626.92
  5. Step 5: Solve for x
    x = 177,626.92/420.09
  6. Step 6: Final answer
    x = 422.83

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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.