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Finding the Fourth Proportional to 654.61, 981.62 and 308.04

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Solution

The fourth proportional to 654.61, 981.62 and 308.04 is: 461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.61 : 981.62 = 308.04 : x
  2. Step 2: Convert to fraction form
    654.61/981.62 = 308.04/x
  3. Step 3: Cross multiply
    654.61x = 981.62 × 308.04
  4. Step 4: Simplify right side
    654.61x = 302,378.22
  5. Step 5: Solve for x
    x = 302,378.22/654.61
  6. Step 6: Final answer
    x = 461.92

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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.