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Finding the Fourth Proportional to 635.50, 877.06 and 355.75

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Solution

The fourth proportional to 635.50, 877.06 and 355.75 is: 490.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.50 : 877.06 = 355.75 : x
  2. Step 2: Convert to fraction form
    635.50/877.06 = 355.75/x
  3. Step 3: Cross multiply
    635.50x = 877.06 × 355.75
  4. Step 4: Simplify right side
    635.50x = 312,012.35
  5. Step 5: Solve for x
    x = 312,012.35/635.50
  6. Step 6: Final answer
    x = 490.97

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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.