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Finding the Fourth Proportional to 420.09, 629.98 and 246.80

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Solution

The fourth proportional to 420.09, 629.98 and 246.80 is: 370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.09 : 629.98 = 246.80 : x
  2. Step 2: Convert to fraction form
    420.09/629.98 = 246.80/x
  3. Step 3: Cross multiply
    420.09x = 629.98 × 246.80
  4. Step 4: Simplify right side
    420.09x = 155,476.48
  5. Step 5: Solve for x
    x = 155,476.48/420.09
  6. Step 6: Final answer
    x = 370.11

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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.