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Finding the Fourth Proportional to 419.82, 579.50 and 254.10

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Solution

The fourth proportional to 419.82, 579.50 and 254.10 is: 350.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.82 : 579.50 = 254.10 : x
  2. Step 2: Convert to fraction form
    419.82/579.50 = 254.10/x
  3. Step 3: Cross multiply
    419.82x = 579.50 × 254.10
  4. Step 4: Simplify right side
    419.82x = 147,250.95
  5. Step 5: Solve for x
    x = 147,250.95/419.82
  6. Step 6: Final answer
    x = 350.75

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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.