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Finding the Fourth Proportional to 622.42, 931.84 and 485.05

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Solution

The fourth proportional to 622.42, 931.84 and 485.05 is: 726.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.42 : 931.84 = 485.05 : x
  2. Step 2: Convert to fraction form
    622.42/931.84 = 485.05/x
  3. Step 3: Cross multiply
    622.42x = 931.84 × 485.05
  4. Step 4: Simplify right side
    622.42x = 451,990.55
  5. Step 5: Solve for x
    x = 451,990.55/622.42
  6. Step 6: Final answer
    x = 726.18

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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.