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Finding the Fourth Proportional to 490.34, 676.53 and 315.74

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Solution

The fourth proportional to 490.34, 676.53 and 315.74 is: 435.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.34 : 676.53 = 315.74 : x
  2. Step 2: Convert to fraction form
    490.34/676.53 = 315.74/x
  3. Step 3: Cross multiply
    490.34x = 676.53 × 315.74
  4. Step 4: Simplify right side
    490.34x = 213,607.58
  5. Step 5: Solve for x
    x = 213,607.58/490.34
  6. Step 6: Final answer
    x = 435.63

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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.