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Finding the Fourth Proportional to 635.78, 877.33 and 355.96

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Solution

The fourth proportional to 635.78, 877.33 and 355.96 is: 491.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.78 : 877.33 = 355.96 : x
  2. Step 2: Convert to fraction form
    635.78/877.33 = 355.96/x
  3. Step 3: Cross multiply
    635.78x = 877.33 × 355.96
  4. Step 4: Simplify right side
    635.78x = 312,295.93
  5. Step 5: Solve for x
    x = 312,295.93/635.78
  6. Step 6: Final answer
    x = 491.20

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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.