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Finding the Fourth Proportional to 656.63, 984.91 and 194.42

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Solution

The fourth proportional to 656.63, 984.91 and 194.42 is: 291.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.63 : 984.91 = 194.42 : x
  2. Step 2: Convert to fraction form
    656.63/984.91 = 194.42/x
  3. Step 3: Cross multiply
    656.63x = 984.91 × 194.42
  4. Step 4: Simplify right side
    656.63x = 191,486.20
  5. Step 5: Solve for x
    x = 191,486.20/656.63
  6. Step 6: Final answer
    x = 291.62

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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.