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Finding the Fourth Proportional to 635.57, 877.09 and 386.85

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Solution

The fourth proportional to 635.57, 877.09 and 386.85 is: 533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.57 : 877.09 = 386.85 : x
  2. Step 2: Convert to fraction form
    635.57/877.09 = 386.85/x
  3. Step 3: Cross multiply
    635.57x = 877.09 × 386.85
  4. Step 4: Simplify right side
    635.57x = 339,302.27
  5. Step 5: Solve for x
    x = 339,302.27/635.57
  6. Step 6: Final answer
    x = 533.86

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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.