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Finding the Fourth Proportional to 635.67, 877.14 and 355.86

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Solution

The fourth proportional to 635.67, 877.14 and 355.86 is: 491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.67 : 877.14 = 355.86 : x
  2. Step 2: Convert to fraction form
    635.67/877.14 = 355.86/x
  3. Step 3: Cross multiply
    635.67x = 877.14 × 355.86
  4. Step 4: Simplify right side
    635.67x = 312,139.04
  5. Step 5: Solve for x
    x = 312,139.04/635.67
  6. Step 6: Final answer
    x = 491.04

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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.