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Finding the Fourth Proportional to 429.53, 644.30 and 425.28

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Solution

The fourth proportional to 429.53, 644.30 and 425.28 is: 637.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.53 : 644.30 = 425.28 : x
  2. Step 2: Convert to fraction form
    429.53/644.30 = 425.28/x
  3. Step 3: Cross multiply
    429.53x = 644.30 × 425.28
  4. Step 4: Simplify right side
    429.53x = 274,007.90
  5. Step 5: Solve for x
    x = 274,007.90/429.53
  6. Step 6: Final answer
    x = 637.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.