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Finding the Fourth Proportional to 634.70, 952.73 and 533.10

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Solution

The fourth proportional to 634.70, 952.73 and 533.10 is: 800.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.70 : 952.73 = 533.10 : x
  2. Step 2: Convert to fraction form
    634.70/952.73 = 533.10/x
  3. Step 3: Cross multiply
    634.70x = 952.73 × 533.10
  4. Step 4: Simplify right side
    634.70x = 507,900.36
  5. Step 5: Solve for x
    x = 507,900.36/634.70
  6. Step 6: Final answer
    x = 800.22

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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.