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Finding the Fourth Proportional to 634.53, 952.26 and 288.26

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Solution

The fourth proportional to 634.53, 952.26 and 288.26 is: 432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.53 : 952.26 = 288.26 : x
  2. Step 2: Convert to fraction form
    634.53/952.26 = 288.26/x
  3. Step 3: Cross multiply
    634.53x = 952.26 × 288.26
  4. Step 4: Simplify right side
    634.53x = 274,496.20
  5. Step 5: Solve for x
    x = 274,496.20/634.53
  6. Step 6: Final answer
    x = 432.60

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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.