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Finding the Fourth Proportional to 419.43, 578.52 and 262.14

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Solution

The fourth proportional to 419.43, 578.52 and 262.14 is: 361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.43 : 578.52 = 262.14 : x
  2. Step 2: Convert to fraction form
    419.43/578.52 = 262.14/x
  3. Step 3: Cross multiply
    419.43x = 578.52 × 262.14
  4. Step 4: Simplify right side
    419.43x = 151,653.23
  5. Step 5: Solve for x
    x = 151,653.23/419.43
  6. Step 6: Final answer
    x = 361.57

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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.