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Finding the Fourth Proportional to 635.12, 953.04 and 361.52

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Solution

The fourth proportional to 635.12, 953.04 and 361.52 is: 542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.12 : 953.04 = 361.52 : x
  2. Step 2: Convert to fraction form
    635.12/953.04 = 361.52/x
  3. Step 3: Cross multiply
    635.12x = 953.04 × 361.52
  4. Step 4: Simplify right side
    635.12x = 344,543.02
  5. Step 5: Solve for x
    x = 344,543.02/635.12
  6. Step 6: Final answer
    x = 542.48

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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.