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Finding the Fourth Proportional to 634.40, 951.60 and 429.38

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Solution

The fourth proportional to 634.40, 951.60 and 429.38 is: 644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.40 : 951.60 = 429.38 : x
  2. Step 2: Convert to fraction form
    634.40/951.60 = 429.38/x
  3. Step 3: Cross multiply
    634.40x = 951.60 × 429.38
  4. Step 4: Simplify right side
    634.40x = 408,598.01
  5. Step 5: Solve for x
    x = 408,598.01/634.40
  6. Step 6: Final answer
    x = 644.07

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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.