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Finding the Fourth Proportional to 635.42, 952.22 and 488.61

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Solution

The fourth proportional to 635.42, 952.22 and 488.61 is: 732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.42 : 952.22 = 488.61 : x
  2. Step 2: Convert to fraction form
    635.42/952.22 = 488.61/x
  3. Step 3: Cross multiply
    635.42x = 952.22 × 488.61
  4. Step 4: Simplify right side
    635.42x = 465,261.77
  5. Step 5: Solve for x
    x = 465,261.77/635.42
  6. Step 6: Final answer
    x = 732.22

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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.