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Finding the Fourth Proportional to 654.92, 981.80 and 289.42

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Solution

The fourth proportional to 654.92, 981.80 and 289.42 is: 433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.92 : 981.80 = 289.42 : x
  2. Step 2: Convert to fraction form
    654.92/981.80 = 289.42/x
  3. Step 3: Cross multiply
    654.92x = 981.80 × 289.42
  4. Step 4: Simplify right side
    654.92x = 284,149.74
  5. Step 5: Solve for x
    x = 284,149.74/654.92
  6. Step 6: Final answer
    x = 433.87

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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.