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Finding the Fourth Proportional to 564.58, 846.94 and 199.30

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Solution

The fourth proportional to 564.58, 846.94 and 199.30 is: 298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.58 : 846.94 = 199.30 : x
  2. Step 2: Convert to fraction form
    564.58/846.94 = 199.30/x
  3. Step 3: Cross multiply
    564.58x = 846.94 × 199.30
  4. Step 4: Simplify right side
    564.58x = 168,790.91
  5. Step 5: Solve for x
    x = 168,790.91/564.58
  6. Step 6: Final answer
    x = 298.97

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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.