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Finding the Fourth Proportional to 984.49, 1,476.48 and 290.97

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Solution

The fourth proportional to 984.49, 1,476.48 and 290.97 is: 436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.49 : 1,476.48 = 290.97 : x
  2. Step 2: Convert to fraction form
    984.49/1,476.48 = 290.97/x
  3. Step 3: Cross multiply
    984.49x = 1,476.48 × 290.97
  4. Step 4: Simplify right side
    984.49x = 429,611.39
  5. Step 5: Solve for x
    x = 429,611.39/984.49
  6. Step 6: Final answer
    x = 436.38

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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.