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Finding the Fourth Proportional to 635.19, 876.51 and 355.41

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Solution

The fourth proportional to 635.19, 876.51 and 355.41 is: 490.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.19 : 876.51 = 355.41 : x
  2. Step 2: Convert to fraction form
    635.19/876.51 = 355.41/x
  3. Step 3: Cross multiply
    635.19x = 876.51 × 355.41
  4. Step 4: Simplify right side
    635.19x = 311,520.42
  5. Step 5: Solve for x
    x = 311,520.42/635.19
  6. Step 6: Final answer
    x = 490.44

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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.