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Finding the Fourth Proportional to 564.11, 846.05 and 193.88

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Solution

The fourth proportional to 564.11, 846.05 and 193.88 is: 290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.11 : 846.05 = 193.88 : x
  2. Step 2: Convert to fraction form
    564.11/846.05 = 193.88/x
  3. Step 3: Cross multiply
    564.11x = 846.05 × 193.88
  4. Step 4: Simplify right side
    564.11x = 164,033.32
  5. Step 5: Solve for x
    x = 164,033.32/564.11
  6. Step 6: Final answer
    x = 290.78

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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.