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Finding the Fourth Proportional to 419.58, 579.06 and 262.26

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Solution

The fourth proportional to 419.58, 579.06 and 262.26 is: 361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.58 : 579.06 = 262.26 : x
  2. Step 2: Convert to fraction form
    419.58/579.06 = 262.26/x
  3. Step 3: Cross multiply
    419.58x = 579.06 × 262.26
  4. Step 4: Simplify right side
    419.58x = 151,864.28
  5. Step 5: Solve for x
    x = 151,864.28/419.58
  6. Step 6: Final answer
    x = 361.94

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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.