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Finding the Fourth Proportional to 464.43, 641.45 and 415.56

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Solution

The fourth proportional to 464.43, 641.45 and 415.56 is: 573.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.43 : 641.45 = 415.56 : x
  2. Step 2: Convert to fraction form
    464.43/641.45 = 415.56/x
  3. Step 3: Cross multiply
    464.43x = 641.45 × 415.56
  4. Step 4: Simplify right side
    464.43x = 266,562.00
  5. Step 5: Solve for x
    x = 266,562.00/464.43
  6. Step 6: Final answer
    x = 573.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.