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Finding the Fourth Proportional to 429.50, 639.70 and 417.96

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Solution

The fourth proportional to 429.50, 639.70 and 417.96 is: 622.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.50 : 639.70 = 417.96 : x
  2. Step 2: Convert to fraction form
    429.50/639.70 = 417.96/x
  3. Step 3: Cross multiply
    429.50x = 639.70 × 417.96
  4. Step 4: Simplify right side
    429.50x = 267,367.97
  5. Step 5: Solve for x
    x = 267,367.97/429.50
  6. Step 6: Final answer
    x = 622.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.