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Finding the Fourth Proportional to 634.50, 952.02 and 378

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Solution

The fourth proportional to 634.50, 952.02 and 378 is: 567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.50 : 952.02 = 378 : x
  2. Step 2: Convert to fraction form
    634.50/952.02 = 378/x
  3. Step 3: Cross multiply
    634.50x = 952.02 × 378
  4. Step 4: Simplify right side
    634.50x = 359,863.56
  5. Step 5: Solve for x
    x = 359,863.56/634.50
  6. Step 6: Final answer
    x = 567.16

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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.