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Finding the Fourth Proportional to 635.48, 876.89 and 355.72

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Solution

The fourth proportional to 635.48, 876.89 and 355.72 is: 490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.48 : 876.89 = 355.72 : x
  2. Step 2: Convert to fraction form
    635.48/876.89 = 355.72/x
  3. Step 3: Cross multiply
    635.48x = 876.89 × 355.72
  4. Step 4: Simplify right side
    635.48x = 311,926.01
  5. Step 5: Solve for x
    x = 311,926.01/635.48
  6. Step 6: Final answer
    x = 490.85

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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.