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Finding the Fourth Proportional to 635.40, 876.91 and 355.63

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Solution

The fourth proportional to 635.40, 876.91 and 355.63 is: 490.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.40 : 876.91 = 355.63 : x
  2. Step 2: Convert to fraction form
    635.40/876.91 = 355.63/x
  3. Step 3: Cross multiply
    635.40x = 876.91 × 355.63
  4. Step 4: Simplify right side
    635.40x = 311,856.21
  5. Step 5: Solve for x
    x = 311,856.21/635.40
  6. Step 6: Final answer
    x = 490.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.