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Finding the Fourth Proportional to 429.15, 644.62 and 364.29

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Solution

The fourth proportional to 429.15, 644.62 and 364.29 is: 547.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.15 : 644.62 = 364.29 : x
  2. Step 2: Convert to fraction form
    429.15/644.62 = 364.29/x
  3. Step 3: Cross multiply
    429.15x = 644.62 × 364.29
  4. Step 4: Simplify right side
    429.15x = 234,828.62
  5. Step 5: Solve for x
    x = 234,828.62/429.15
  6. Step 6: Final answer
    x = 547.19

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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.