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Finding the Fourth Proportional to 419.64, 579.25 and 301.78

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Solution

The fourth proportional to 419.64, 579.25 and 301.78 is: 416.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.64 : 579.25 = 301.78 : x
  2. Step 2: Convert to fraction form
    419.64/579.25 = 301.78/x
  3. Step 3: Cross multiply
    419.64x = 579.25 × 301.78
  4. Step 4: Simplify right side
    419.64x = 174,806.07
  5. Step 5: Solve for x
    x = 174,806.07/419.64
  6. Step 6: Final answer
    x = 416.56

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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.