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Finding the Fourth Proportional to 635.51, 951.90 and 310.20

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Solution

The fourth proportional to 635.51, 951.90 and 310.20 is: 464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.51 : 951.90 = 310.20 : x
  2. Step 2: Convert to fraction form
    635.51/951.90 = 310.20/x
  3. Step 3: Cross multiply
    635.51x = 951.90 × 310.20
  4. Step 4: Simplify right side
    635.51x = 295,279.38
  5. Step 5: Solve for x
    x = 295,279.38/635.51
  6. Step 6: Final answer
    x = 464.63

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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.