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Finding the Fourth Proportional to 611.49, 843.63 and 401.78

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Solution

The fourth proportional to 611.49, 843.63 and 401.78 is: 554.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.49 : 843.63 = 401.78 : x
  2. Step 2: Convert to fraction form
    611.49/843.63 = 401.78/x
  3. Step 3: Cross multiply
    611.49x = 843.63 × 401.78
  4. Step 4: Simplify right side
    611.49x = 338,955.77
  5. Step 5: Solve for x
    x = 338,955.77/611.49
  6. Step 6: Final answer
    x = 554.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.