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Finding the Fourth Proportional to 655.46, 981.84 and 308.30

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Solution

The fourth proportional to 655.46, 981.84 and 308.30 is: 461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.46 : 981.84 = 308.30 : x
  2. Step 2: Convert to fraction form
    655.46/981.84 = 308.30/x
  3. Step 3: Cross multiply
    655.46x = 981.84 × 308.30
  4. Step 4: Simplify right side
    655.46x = 302,701.27
  5. Step 5: Solve for x
    x = 302,701.27/655.46
  6. Step 6: Final answer
    x = 461.82

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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.