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Finding the Fourth Proportional to 635.69, 877.24 and 386.92

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Solution

The fourth proportional to 635.69, 877.24 and 386.92 is: 533.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.69 : 877.24 = 386.92 : x
  2. Step 2: Convert to fraction form
    635.69/877.24 = 386.92/x
  3. Step 3: Cross multiply
    635.69x = 877.24 × 386.92
  4. Step 4: Simplify right side
    635.69x = 339,419.77
  5. Step 5: Solve for x
    x = 339,419.77/635.69
  6. Step 6: Final answer
    x = 533.94

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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.