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Finding the Fourth Proportional to 420.38, 629.93 and 282.92

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Solution

The fourth proportional to 420.38, 629.93 and 282.92 is: 423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.38 : 629.93 = 282.92 : x
  2. Step 2: Convert to fraction form
    420.38/629.93 = 282.92/x
  3. Step 3: Cross multiply
    420.38x = 629.93 × 282.92
  4. Step 4: Simplify right side
    420.38x = 178,219.80
  5. Step 5: Solve for x
    x = 178,219.80/420.38
  6. Step 6: Final answer
    x = 423.95

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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.