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Finding the Fourth Proportional to 406.55, 609.24 and 314.82

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Solution

The fourth proportional to 406.55, 609.24 and 314.82 is: 471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.55 : 609.24 = 314.82 : x
  2. Step 2: Convert to fraction form
    406.55/609.24 = 314.82/x
  3. Step 3: Cross multiply
    406.55x = 609.24 × 314.82
  4. Step 4: Simplify right side
    406.55x = 191,800.94
  5. Step 5: Solve for x
    x = 191,800.94/406.55
  6. Step 6: Final answer
    x = 471.78

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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.