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Finding the Fourth Proportional to 564.87, 846.99 and 194.49

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Solution

The fourth proportional to 564.87, 846.99 and 194.49 is: 291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.87 : 846.99 = 194.49 : x
  2. Step 2: Convert to fraction form
    564.87/846.99 = 194.49/x
  3. Step 3: Cross multiply
    564.87x = 846.99 × 194.49
  4. Step 4: Simplify right side
    564.87x = 164,731.09
  5. Step 5: Solve for x
    x = 164,731.09/564.87
  6. Step 6: Final answer
    x = 291.63

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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.