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Finding the Fourth Proportional to 433.54, 645.21 and 418.18

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Solution

The fourth proportional to 433.54, 645.21 and 418.18 is: 622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.54 : 645.21 = 418.18 : x
  2. Step 2: Convert to fraction form
    433.54/645.21 = 418.18/x
  3. Step 3: Cross multiply
    433.54x = 645.21 × 418.18
  4. Step 4: Simplify right side
    433.54x = 269,811.83
  5. Step 5: Solve for x
    x = 269,811.83/433.54
  6. Step 6: Final answer
    x = 622.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.