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Finding the Fourth Proportional to 654.84, 981.78 and 289.80

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Solution

The fourth proportional to 654.84, 981.78 and 289.80 is: 434.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.84 : 981.78 = 289.80 : x
  2. Step 2: Convert to fraction form
    654.84/981.78 = 289.80/x
  3. Step 3: Cross multiply
    654.84x = 981.78 × 289.80
  4. Step 4: Simplify right side
    654.84x = 284,519.84
  5. Step 5: Solve for x
    x = 284,519.84/654.84
  6. Step 6: Final answer
    x = 434.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.