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Finding the Fourth Proportional to 419.76, 579.28 and 254.08

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Solution

The fourth proportional to 419.76, 579.28 and 254.08 is: 350.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.76 : 579.28 = 254.08 : x
  2. Step 2: Convert to fraction form
    419.76/579.28 = 254.08/x
  3. Step 3: Cross multiply
    419.76x = 579.28 × 254.08
  4. Step 4: Simplify right side
    419.76x = 147,183.46
  5. Step 5: Solve for x
    x = 147,183.46/419.76
  6. Step 6: Final answer
    x = 350.64

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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.