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Finding the Fourth Proportional to 635.69, 877.22 and 355.87

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Solution

The fourth proportional to 635.69, 877.22 and 355.87 is: 491.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.69 : 877.22 = 355.87 : x
  2. Step 2: Convert to fraction form
    635.69/877.22 = 355.87/x
  3. Step 3: Cross multiply
    635.69x = 877.22 × 355.87
  4. Step 4: Simplify right side
    635.69x = 312,174.98
  5. Step 5: Solve for x
    x = 312,174.98/635.69
  6. Step 6: Final answer
    x = 491.08

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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.