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Finding the Fourth Proportional to 490.42, 676.64 and 315.86

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Solution

The fourth proportional to 490.42, 676.64 and 315.86 is: 435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.42 : 676.64 = 315.86 : x
  2. Step 2: Convert to fraction form
    490.42/676.64 = 315.86/x
  3. Step 3: Cross multiply
    490.42x = 676.64 × 315.86
  4. Step 4: Simplify right side
    490.42x = 213,725.99
  5. Step 5: Solve for x
    x = 213,725.99/490.42
  6. Step 6: Final answer
    x = 435.80

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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.