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Finding the Fourth Proportional to 635.82, 876.74 and 488.14

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Solution

The fourth proportional to 635.82, 876.74 and 488.14 is: 673.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.82 : 876.74 = 488.14 : x
  2. Step 2: Convert to fraction form
    635.82/876.74 = 488.14/x
  3. Step 3: Cross multiply
    635.82x = 876.74 × 488.14
  4. Step 4: Simplify right side
    635.82x = 427,971.86
  5. Step 5: Solve for x
    x = 427,971.86/635.82
  6. Step 6: Final answer
    x = 673.10

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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.