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Finding the Fourth Proportional to 635.40, 952.20 and 442.80

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Solution

The fourth proportional to 635.40, 952.20 and 442.80 is: 663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.40 : 952.20 = 442.80 : x
  2. Step 2: Convert to fraction form
    635.40/952.20 = 442.80/x
  3. Step 3: Cross multiply
    635.40x = 952.20 × 442.80
  4. Step 4: Simplify right side
    635.40x = 421,634.16
  5. Step 5: Solve for x
    x = 421,634.16/635.40
  6. Step 6: Final answer
    x = 663.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.