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Finding the Fourth Proportional to 429.69, 644.67 and 246.63

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Solution

The fourth proportional to 429.69, 644.67 and 246.63 is: 370.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.69 : 644.67 = 246.63 : x
  2. Step 2: Convert to fraction form
    429.69/644.67 = 246.63/x
  3. Step 3: Cross multiply
    429.69x = 644.67 × 246.63
  4. Step 4: Simplify right side
    429.69x = 158,994.96
  5. Step 5: Solve for x
    x = 158,994.96/429.69
  6. Step 6: Final answer
    x = 370.02

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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.