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Finding the Fourth Proportional to 656.33, 984.54 and 194.09

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Solution

The fourth proportional to 656.33, 984.54 and 194.09 is: 291.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.33 : 984.54 = 194.09 : x
  2. Step 2: Convert to fraction form
    656.33/984.54 = 194.09/x
  3. Step 3: Cross multiply
    656.33x = 984.54 × 194.09
  4. Step 4: Simplify right side
    656.33x = 191,092.39
  5. Step 5: Solve for x
    x = 191,092.39/656.33
  6. Step 6: Final answer
    x = 291.16

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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.