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Finding the Fourth Proportional to 406.52, 609.14 and 276.58

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Solution

The fourth proportional to 406.52, 609.14 and 276.58 is: 414.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.52 : 609.14 = 276.58 : x
  2. Step 2: Convert to fraction form
    406.52/609.14 = 276.58/x
  3. Step 3: Cross multiply
    406.52x = 609.14 × 276.58
  4. Step 4: Simplify right side
    406.52x = 168,475.94
  5. Step 5: Solve for x
    x = 168,475.94/406.52
  6. Step 6: Final answer
    x = 414.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.