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Finding the Fourth Proportional to 635.48, 952.07 and 533.42

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Solution

The fourth proportional to 635.48, 952.07 and 533.42 is: 799.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.48 : 952.07 = 533.42 : x
  2. Step 2: Convert to fraction form
    635.48/952.07 = 533.42/x
  3. Step 3: Cross multiply
    635.48x = 952.07 × 533.42
  4. Step 4: Simplify right side
    635.48x = 507,845.75
  5. Step 5: Solve for x
    x = 507,845.75/635.48
  6. Step 6: Final answer
    x = 799.16

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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.