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Finding the Fourth Proportional to 635.78, 877.38 and 387.02

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Solution

The fourth proportional to 635.78, 877.38 and 387.02 is: 534.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.78 : 877.38 = 387.02 : x
  2. Step 2: Convert to fraction form
    635.78/877.38 = 387.02/x
  3. Step 3: Cross multiply
    635.78x = 877.38 × 387.02
  4. Step 4: Simplify right side
    635.78x = 339,563.61
  5. Step 5: Solve for x
    x = 339,563.61/635.78
  6. Step 6: Final answer
    x = 534.09

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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.