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Finding the Fourth Proportional to 420.09, 628.59 and 254.94

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Solution

The fourth proportional to 420.09, 628.59 and 254.94 is: 381.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.09 : 628.59 = 254.94 : x
  2. Step 2: Convert to fraction form
    420.09/628.59 = 254.94/x
  3. Step 3: Cross multiply
    420.09x = 628.59 × 254.94
  4. Step 4: Simplify right side
    420.09x = 160,252.73
  5. Step 5: Solve for x
    x = 160,252.73/420.09
  6. Step 6: Final answer
    x = 381.47

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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.