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Finding the Fourth Proportional to 634.34, 951.03 and 428.33

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Solution

The fourth proportional to 634.34, 951.03 and 428.33 is: 642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.34 : 951.03 = 428.33 : x
  2. Step 2: Convert to fraction form
    634.34/951.03 = 428.33/x
  3. Step 3: Cross multiply
    634.34x = 951.03 × 428.33
  4. Step 4: Simplify right side
    634.34x = 407,349.92
  5. Step 5: Solve for x
    x = 407,349.92/634.34
  6. Step 6: Final answer
    x = 642.17

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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.