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Finding the Fourth Proportional to 429.24, 644.94 and 416.28

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Solution

The fourth proportional to 429.24, 644.94 and 416.28 is: 625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.24 : 644.94 = 416.28 : x
  2. Step 2: Convert to fraction form
    429.24/644.94 = 416.28/x
  3. Step 3: Cross multiply
    429.24x = 644.94 × 416.28
  4. Step 4: Simplify right side
    429.24x = 268,475.62
  5. Step 5: Solve for x
    x = 268,475.62/429.24
  6. Step 6: Final answer
    x = 625.47

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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.