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Finding the Fourth Proportional to 417.42, 576.09 and 262.14

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Solution

The fourth proportional to 417.42, 576.09 and 262.14 is: 361.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.42 : 576.09 = 262.14 : x
  2. Step 2: Convert to fraction form
    417.42/576.09 = 262.14/x
  3. Step 3: Cross multiply
    417.42x = 576.09 × 262.14
  4. Step 4: Simplify right side
    417.42x = 151,016.23
  5. Step 5: Solve for x
    x = 151,016.23/417.42
  6. Step 6: Final answer
    x = 361.78

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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.