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Finding the Fourth Proportional to 635.67, 877.37 and 402.75

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Solution

The fourth proportional to 635.67, 877.37 and 402.75 is: 555.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.67 : 877.37 = 402.75 : x
  2. Step 2: Convert to fraction form
    635.67/877.37 = 402.75/x
  3. Step 3: Cross multiply
    635.67x = 877.37 × 402.75
  4. Step 4: Simplify right side
    635.67x = 353,358.75
  5. Step 5: Solve for x
    x = 353,358.75/635.67
  6. Step 6: Final answer
    x = 555.88

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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.