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Finding the Fourth Proportional to 635.41, 876.87 and 355.68

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Solution

The fourth proportional to 635.41, 876.87 and 355.68 is: 490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.41 : 876.87 = 355.68 : x
  2. Step 2: Convert to fraction form
    635.41/876.87 = 355.68/x
  3. Step 3: Cross multiply
    635.41x = 876.87 × 355.68
  4. Step 4: Simplify right side
    635.41x = 311,885.12
  5. Step 5: Solve for x
    x = 311,885.12/635.41
  6. Step 6: Final answer
    x = 490.84

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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.