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Finding the Fourth Proportional to 419.76, 579.07 and 262.29

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Solution

The fourth proportional to 419.76, 579.07 and 262.29 is: 361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.76 : 579.07 = 262.29 : x
  2. Step 2: Convert to fraction form
    419.76/579.07 = 262.29/x
  3. Step 3: Cross multiply
    419.76x = 579.07 × 262.29
  4. Step 4: Simplify right side
    419.76x = 151,884.27
  5. Step 5: Solve for x
    x = 151,884.27/419.76
  6. Step 6: Final answer
    x = 361.84

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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.