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Finding the Fourth Proportional to 635.48, 953.91 and 533.90

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Solution

The fourth proportional to 635.48, 953.91 and 533.90 is: 801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.48 : 953.91 = 533.90 : x
  2. Step 2: Convert to fraction form
    635.48/953.91 = 533.90/x
  3. Step 3: Cross multiply
    635.48x = 953.91 × 533.90
  4. Step 4: Simplify right side
    635.48x = 509,287.78
  5. Step 5: Solve for x
    x = 509,287.78/635.48
  6. Step 6: Final answer
    x = 801.42

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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.