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Finding the Fourth Proportional to 433.73, 641.51 and 433.73

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Solution

The fourth proportional to 433.73, 641.51 and 433.73 is: 641.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.73 : 641.51 = 433.73 : x
  2. Step 2: Convert to fraction form
    433.73/641.51 = 433.73/x
  3. Step 3: Cross multiply
    433.73x = 641.51 × 433.73
  4. Step 4: Simplify right side
    433.73x = 278,242.13
  5. Step 5: Solve for x
    x = 278,242.13/433.73
  6. Step 6: Final answer
    x = 641.51

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.