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Finding the Fourth Proportional to 635.63, 953.81 and 343.13

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Solution

The fourth proportional to 635.63, 953.81 and 343.13 is: 514.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.63 : 953.81 = 343.13 : x
  2. Step 2: Convert to fraction form
    635.63/953.81 = 343.13/x
  3. Step 3: Cross multiply
    635.63x = 953.81 × 343.13
  4. Step 4: Simplify right side
    635.63x = 327,279.97
  5. Step 5: Solve for x
    x = 327,279.97/635.63
  6. Step 6: Final answer
    x = 514.89

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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.