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Finding the Fourth Proportional to 415.14, 576.73 and 411.34

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Solution

The fourth proportional to 415.14, 576.73 and 411.34 is: 571.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.14 : 576.73 = 411.34 : x
  2. Step 2: Convert to fraction form
    415.14/576.73 = 411.34/x
  3. Step 3: Cross multiply
    415.14x = 576.73 × 411.34
  4. Step 4: Simplify right side
    415.14x = 237,232.12
  5. Step 5: Solve for x
    x = 237,232.12/415.14
  6. Step 6: Final answer
    x = 571.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.