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Finding the Fourth Proportional to 634.89, 952.34 and 288.17

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Solution

The fourth proportional to 634.89, 952.34 and 288.17 is: 432.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.89 : 952.34 = 288.17 : x
  2. Step 2: Convert to fraction form
    634.89/952.34 = 288.17/x
  3. Step 3: Cross multiply
    634.89x = 952.34 × 288.17
  4. Step 4: Simplify right side
    634.89x = 274,429.62
  5. Step 5: Solve for x
    x = 274,429.62/634.89
  6. Step 6: Final answer
    x = 432.25

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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.