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Finding the Fourth Proportional to 635.34, 878.40 and 488.46

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Solution

The fourth proportional to 635.34, 878.40 and 488.46 is: 675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.34 : 878.40 = 488.46 : x
  2. Step 2: Convert to fraction form
    635.34/878.40 = 488.46/x
  3. Step 3: Cross multiply
    635.34x = 878.40 × 488.46
  4. Step 4: Simplify right side
    635.34x = 429,063.26
  5. Step 5: Solve for x
    x = 429,063.26/635.34
  6. Step 6: Final answer
    x = 675.33

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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.