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Finding the Fourth Proportional to 419.98, 579.66 and 254.20

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Solution

The fourth proportional to 419.98, 579.66 and 254.20 is: 350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.98 : 579.66 = 254.20 : x
  2. Step 2: Convert to fraction form
    419.98/579.66 = 254.20/x
  3. Step 3: Cross multiply
    419.98x = 579.66 × 254.20
  4. Step 4: Simplify right side
    419.98x = 147,349.57
  5. Step 5: Solve for x
    x = 147,349.57/419.98
  6. Step 6: Final answer
    x = 350.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.