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Finding the Fourth Proportional to 436.14, 650.61 and 411.30

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Solution

The fourth proportional to 436.14, 650.61 and 411.30 is: 613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.14 : 650.61 = 411.30 : x
  2. Step 2: Convert to fraction form
    436.14/650.61 = 411.30/x
  3. Step 3: Cross multiply
    436.14x = 650.61 × 411.30
  4. Step 4: Simplify right side
    436.14x = 267,595.89
  5. Step 5: Solve for x
    x = 267,595.89/436.14
  6. Step 6: Final answer
    x = 613.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.